Chap14
Lin_Zhang
3/19/2020
#14M1.Repeat the café robot simulation from the beginning of the chapter. This time, set rho to zero, so that there is no correlation between intercepts and slopes. How does the posterior distribution of the correlation reflect this change in the underlying simulation?
a <- 3.5 # average morning wait time
b <- (-1) # average difference afternoon wait time
sigma_a <- 1 # std dev in intercepts
sigma_b <- 0.5 # std dev in slopes
rho <- (-0.7) # correlation between intercepts and slopesMu <- c( a , b )cov_ab <- sigma_a*sigma_b*rho
Sigma <- matrix( c(sigma_a^2,cov_ab,cov_ab,sigma_b^2) , ncol=2 )N_cafes <- 20library(MASS)
set.seed(5) # used to replicate example
vary_effects <- mvrnorm( N_cafes , Mu , Sigma )a_cafe <- vary_effects[,1]
b_cafe <- vary_effects[,2]library(rethinking)## Loading required package: rstan## Loading required package: StanHeaders## Loading required package: ggplot2## rstan (Version 2.19.3, GitRev: 2e1f913d3ca3)## For execution on a local, multicore CPU with excess RAM we recommend calling
## options(mc.cores = parallel::detectCores()).
## To avoid recompilation of unchanged Stan programs, we recommend calling
## rstan_options(auto_write = TRUE)## For improved execution time, we recommend calling
## Sys.setenv(LOCAL_CPPFLAGS = '-march=corei7 -mtune=corei7')
## although this causes Stan to throw an error on a few processors.## Loading required package: parallel## Loading required package: dagitty## rethinking (Version 1.95)##
## Attaching package: 'rethinking'## The following object is masked from 'package:stats':
##
## rstudentplot( a_cafe , b_cafe , col=rangi2 ,
xlab="intercepts (a_cafe)" , ylab="slopes (b_cafe)" )
# overlay population distribution
library(ellipse)## Warning: package 'ellipse' was built under R version 3.6.3##
## Attaching package: 'ellipse'## The following object is masked from 'package:rethinking':
##
## pairs## The following object is masked from 'package:graphics':
##
## pairsfor ( l in c(0.1,0.3,0.5,0.8,0.99) )
lines(ellipse(Sigma,centre=Mu,level=l),col=col.alpha("black",0.2))
No correlation shown between intercept and slope
simulates 10 visits to each cafe, 5 in the morning and 5 in the afternoon, and combine into a dataframe
set.seed(22)
N_visits <- 10
afternoon <- rep(0:1,N_visits*N_cafes/2)
cafe_id <- rep( 1:N_cafes , each=N_visits )
mu <- a_cafe[cafe_id] + b_cafe[cafe_id]*afternoon
sigma <- 0.5 # std dev within cafes
wait <- rnorm( N_visits*N_cafes , mu , sigma )
d <- data.frame( cafe=cafe_id , afternoon=afternoon , wait=wait )fit the model
m14M1 <- ulam(
alist(
wait ~ normal( mu , sigma ),
mu <- a_cafe[cafe] + b_cafe[cafe]*afternoon,
c(a_cafe,b_cafe)[cafe] ~ multi_normal( c(a,b) , Rho , sigma_cafe ),
a ~ normal(5,2),
b ~ normal(-1,0.5),
sigma_cafe ~ exponential(1),
sigma ~ exponential(1),
Rho ~ lkj_corr(2)
) , data=d , chains=4 , cores=4 , log_lik = TRUE)## Warning: The largest R-hat is NA, indicating chains have not mixed.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#r-hat## Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#bulk-ess## Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#tail-ess!above model not go through with prompt The largest R-hat is NA, indicating chains have not mixed. Running the chains for more iterations may help tried iter up to 6000, not working
#marginal posterior distributions
plot(precis(m14M1,depth = 3))
precis(m14M1,depth = 3)## mean sd 5.5% 94.5% n_eff Rhat4
## b_cafe[1] -1.1494855 2.669331e-01 -1.5667408 -0.72960448 2325.846 1.0001683
## b_cafe[2] -0.8992284 2.652712e-01 -1.3183435 -0.48518758 2120.522 0.9991882
## b_cafe[3] -1.9480227 2.798793e-01 -2.3869829 -1.49499245 2375.921 1.0009773
## b_cafe[4] -1.2324688 2.672595e-01 -1.6573210 -0.80217343 2436.928 1.0004742
## b_cafe[5] -0.1331900 2.856303e-01 -0.5790025 0.32775577 2323.453 1.0000059
## b_cafe[6] -1.3015016 2.735684e-01 -1.7445514 -0.87108488 2034.356 0.9984547
## b_cafe[7] -1.0285851 2.635330e-01 -1.4519581 -0.61629322 2975.508 0.9985961
## b_cafe[8] -1.6390617 2.637294e-01 -2.0469054 -1.22680694 2343.378 0.9994078
## b_cafe[9] -1.3066812 2.565750e-01 -1.7066680 -0.89706450 2586.619 1.0020322
## b_cafe[10] -0.9485645 2.625543e-01 -1.3537033 -0.52458783 2951.995 0.9994077
## b_cafe[11] -0.4289445 2.771088e-01 -0.8581326 0.01309357 2336.721 0.9995411
## b_cafe[12] -1.1876104 2.709955e-01 -1.6130619 -0.76058135 2647.961 0.9993531
## b_cafe[13] -1.8233730 2.714941e-01 -2.2576005 -1.38811044 2468.429 0.9994315
## b_cafe[14] -0.9417839 2.577837e-01 -1.3481485 -0.53410662 2598.937 0.9990381
## b_cafe[15] -2.1960511 2.830811e-01 -2.6501810 -1.74451507 2228.400 0.9988755
## b_cafe[16] -1.0427541 2.653981e-01 -1.4554641 -0.60186851 2490.133 0.9999399
## b_cafe[17] -1.2294284 2.615503e-01 -1.6462067 -0.80287429 2506.844 1.0000370
## b_cafe[18] -1.0160823 2.766536e-01 -1.4614130 -0.57838103 2680.514 1.0003549
## b_cafe[19] -0.2538980 2.811445e-01 -0.7095752 0.18891631 2195.855 0.9998102
## b_cafe[20] -1.0528513 2.560310e-01 -1.4611407 -0.64781242 2554.980 0.9992673
## a_cafe[1] 4.2166510 2.032868e-01 3.8962421 4.54104211 2271.355 0.9991281
## a_cafe[2] 2.1634278 2.014227e-01 1.8454269 2.48787221 2288.311 0.9994243
## a_cafe[3] 4.3786399 2.022642e-01 4.0594563 4.71230816 2201.449 1.0002065
## a_cafe[4] 3.2439970 1.969236e-01 2.9233479 3.56986662 2268.048 1.0012682
## a_cafe[5] 1.8743036 2.142397e-01 1.5360866 2.22026926 2470.320 1.0006243
## a_cafe[6] 4.2635814 2.109563e-01 3.9154139 4.60863021 2667.363 0.9989171
## a_cafe[7] 3.6174849 2.006645e-01 3.3026323 3.92701585 3446.141 0.9987461
## a_cafe[8] 3.9501758 1.995922e-01 3.6263539 4.27367111 2450.517 0.9997049
## a_cafe[9] 3.9810968 1.968983e-01 3.6757396 4.29855239 2355.632 1.0030917
## a_cafe[10] 3.5623999 1.968011e-01 3.2477556 3.87279263 2473.072 1.0016683
## a_cafe[11] 1.9280001 2.054665e-01 1.5963776 2.24823979 2355.023 0.9988211
## a_cafe[12] 3.8419813 2.032389e-01 3.5113805 4.16325685 2378.721 1.0007642
## a_cafe[13] 3.8890020 2.010227e-01 3.5688449 4.21099895 2771.331 1.0003735
## a_cafe[14] 3.1748733 1.954539e-01 2.8679645 3.49081620 2442.946 0.9986792
## a_cafe[15] 4.4571134 2.042277e-01 4.1313520 4.78389581 2302.744 0.9989796
## a_cafe[16] 3.3871684 2.015144e-01 3.0617832 3.70998295 2620.634 0.9992624
## a_cafe[17] 4.2189505 2.010686e-01 3.9053432 4.53852028 2737.740 0.9991970
## a_cafe[18] 5.7416507 2.024100e-01 5.4109693 6.05811073 2574.819 1.0010483
## a_cafe[19] 3.2455089 2.074309e-01 2.9191363 3.59043724 2285.273 0.9989401
## a_cafe[20] 3.7299550 1.954286e-01 3.4117838 4.03621324 2751.979 0.9996420
## a 3.6523868 2.204402e-01 3.3094610 4.01596262 2238.942 1.0015726
## b -1.1306449 1.472713e-01 -1.3649172 -0.90298781 2124.214 1.0004474
## sigma_cafe[1] 0.9574826 1.620257e-01 0.7331795 1.23523385 2114.636 0.9995461
## sigma_cafe[2] 0.5971836 1.264935e-01 0.4176872 0.81064075 1767.666 0.9997443
## sigma 0.4732856 2.758979e-02 0.4317900 0.51805183 1895.329 1.0012587
## Rho[1,1] 1.0000000 0.000000e+00 1.0000000 1.00000000 NaN NaN
## Rho[1,2] -0.5026399 1.784988e-01 -0.7499561 -0.19816098 1977.595 1.0022136
## Rho[2,1] -0.5026399 1.784988e-01 -0.7499561 -0.19816098 1977.595 1.0022136
## Rho[2,2] 1.0000000 7.617258e-17 1.0000000 1.00000000 1874.549 0.9979980traceplot(m14M1)## Waiting to draw page 2 of 4
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trankplot(m14M1,n_cols = 2)## Waiting to draw page 2 of 5
## Waiting to draw page 3 of 5
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inspect posterior distribution of varying effects
post <- extract.samples(m14M1)
#posterior correlation between intercepts and slopes
dens(post$Rho[,1,2])
The posterior is concentrated on 0 now, refelecting the data generation process
non-centered ? # {r} # m14M1_2 <- ulam( # alist( # wait ~ normal( mu , sigma ), # mu <- a[cafe] + b[afternoon], # # # adapative priors - non-centered # #fixed priors # # a ~ normal(5,2), # # b ~ normal(-1,0.5), # sigma_cafe ~ exponential(1), # sigma ~ exponential(1), # cholesky_factor_corr[4]:L_Rho_cafe ~ lkj_corr_cholesky(2) # # # compute ordinary correlation matrixes from Cholesky factors # gq> matrix[4,4]:Rho_cafe <<- multiply_lower_tri_self_transpose(L_Pho_cafe) # ) , data=d , chains=4 , cores=4 , log_lik=TRUE) #
#14M2.Fit this multilevel model to the simulated café data: Wi ∼ Normal(µi; σ) µi = αcafé[i] + βcafé[i]Ai αcafé ∼ Normal(α; σα) βcafé ∼ Normal(β; σβ) α ∼ Normal(0; 10) β ∼ Normal(0; 10) σ ∼ HalfCauchy(0; 1) #halfCauchy ??? σα ∼ HalfCauchy(0; 1) σβ ∼ HalfCauchy(0; 1) Use WAIC to compare this model to the model from the chapter, the one that uses a multi-variate Gaussian prior. Explain the result. set Rho to -0.7, the same as in the book
m14M2 <- ulam(
alist(
wait ~ normal(mu , sigma),
mu <- a_cafe[cafe] + b_cafe[cafe]*afternoon,
# multi-level model
a_cafe[cafe] ~ normal(a,sigma_a),
b_cafe[cafe] ~ normal(b,sigma_b),
# adaptative priors centered
a ~ normal(0,10),
b ~ normal(0,10),
# fixed prior
sigma ~ dcauchy(0,1), #HalfCauchy ???
sigma_a ~ dcauchy(0,1),
sigma_b ~ dcauchy(0,1)
) , data=d , chains=4 , cores=4, log_lik = TRUE)precis(m14M2,depth=2)## mean sd 5.5% 94.5% n_eff Rhat4
## a_cafe[1] 4.2029608 0.19863122 3.8828571 4.50840370 2632.768 0.9986592
## a_cafe[2] 2.2088550 0.19574563 1.9026996 2.52763990 2178.604 0.9989315
## a_cafe[3] 4.3480965 0.20268684 4.0134379 4.65986135 2579.575 0.9994472
## a_cafe[4] 3.2526318 0.20050441 2.9332116 3.57728539 2442.243 0.9989036
## a_cafe[5] 1.9520021 0.20642971 1.6227944 2.27027271 2143.454 0.9986175
## a_cafe[6] 4.2397117 0.19941348 3.9165013 4.55910721 2390.594 0.9996117
## a_cafe[7] 3.6131654 0.19910728 3.2939439 3.94583641 2271.822 0.9989569
## a_cafe[8] 3.9343440 0.19691010 3.6154274 4.24795479 2149.579 0.9991300
## a_cafe[9] 3.9715290 0.19791008 3.6577984 4.29063998 2396.042 0.9983463
## a_cafe[10] 3.5690379 0.19607846 3.2548562 3.88667324 2590.286 0.9992268
## a_cafe[11] 1.9929695 0.20667730 1.6670607 2.31775157 2370.662 0.9986209
## a_cafe[12] 3.8326189 0.19842203 3.5112533 4.14052755 2561.070 1.0008145
## a_cafe[13] 3.8628781 0.19692295 3.5421039 4.18211788 2611.473 0.9989060
## a_cafe[14] 3.1933769 0.19757459 2.8806503 3.51417549 2072.441 0.9988420
## a_cafe[15] 4.4186948 0.19739306 4.1034798 4.73542141 2357.122 0.9983166
## a_cafe[16] 3.3939749 0.19688456 3.0740102 3.70726032 2305.906 0.9994549
## a_cafe[17] 4.2008156 0.19488505 3.8890084 4.49740049 2730.595 0.9987464
## a_cafe[18] 5.6910600 0.19890879 5.3777766 6.01367738 2201.290 1.0002455
## a_cafe[19] 3.2707971 0.20422879 2.9548008 3.60725591 1677.522 1.0019905
## a_cafe[20] 3.7347010 0.19947745 3.4187231 4.05743178 2243.779 1.0014188
## b_cafe[1] -1.1092107 0.26425211 -1.5317807 -0.69797335 2288.102 0.9991277
## b_cafe[2] -1.0160193 0.26130088 -1.4393014 -0.60047886 2261.225 0.9992764
## b_cafe[3] -1.9183223 0.27307810 -2.3645351 -1.49918264 2249.460 1.0003515
## b_cafe[4] -1.2681306 0.27105703 -1.6994987 -0.84308389 2695.691 0.9989683
## b_cafe[5] -0.2524632 0.28008642 -0.7044978 0.18692371 2062.477 0.9998042
## b_cafe[6] -1.2666314 0.26562546 -1.6873916 -0.83550677 2487.236 0.9993899
## b_cafe[7] -1.0218359 0.26821859 -1.4524145 -0.59713646 2498.406 0.9992994
## b_cafe[8] -1.6285205 0.27096089 -2.0636117 -1.19173368 2067.483 0.9996816
## b_cafe[9] -1.2971135 0.26292057 -1.7183925 -0.88370344 2189.677 0.9990078
## b_cafe[10] -0.9625438 0.26217168 -1.3913077 -0.54533525 2432.090 0.9995162
## b_cafe[11] -0.5454470 0.28073496 -0.9965350 -0.09866262 2489.832 0.9982713
## b_cafe[12] -1.1771851 0.26976193 -1.6205907 -0.75171718 2359.691 0.9986083
## b_cafe[13] -1.8171506 0.26618900 -2.2389586 -1.38303779 2233.741 0.9995118
## b_cafe[14] -0.9775176 0.26898719 -1.4077336 -0.53966345 1930.023 0.9990653
## b_cafe[15] -2.1723591 0.28636373 -2.6189916 -1.72694935 2184.808 0.9986110
## b_cafe[16] -1.0612298 0.26083151 -1.4742970 -0.64580707 2243.567 0.9998823
## b_cafe[17] -1.1774898 0.26259658 -1.5893302 -0.74626556 2479.759 0.9997429
## b_cafe[18] -0.8629434 0.27014530 -1.2972011 -0.41177917 2255.057 1.0015731
## b_cafe[19] -0.2660107 0.28081912 -0.7151368 0.18128572 1936.790 0.9999505
## b_cafe[20] -1.0553199 0.27240790 -1.4867633 -0.60914773 2402.227 1.0007567
## a 3.6453649 0.21606517 3.3057758 3.98544820 2415.613 0.9992041
## b -1.1503760 0.15469156 -1.3938305 -0.89947574 2321.004 0.9999556
## sigma 0.4756127 0.02693149 0.4342277 0.52259320 1978.557 0.9995680
## sigma_a 0.9430258 0.17291907 0.7152721 1.23732067 1758.815 1.0005682
## sigma_b 0.5765927 0.12362215 0.4018141 0.78797281 1743.550 0.9988502inspect posterior distribution
post <- extract.samples(m14M2)
#posterior correlation between intercepts and slopes
dens(post$a)
compare multi-level and multi-variate Gaussion model
compare(m14M1,m14M2)## WAIC SE dWAIC dSE pWAIC weight
## m14M1 305.4853 17.71064 0.000000 NA 33.22390 0.6645218
## m14M2 306.8523 17.95200 1.367021 2.044485 32.87544 0.3354782multi-variate Gaussion model is better, but overall they are quite similar as in below.
plot(compare(m14M1,m14M2))
- Update last weeks problems if necessary. Can you fit non-centered models? Are you using multivariate normal distributions where appropriate?
?how to fit non-centered model to cafe dataset
- Rongkui’s Instrumental Variable problem (see earlier email) simulated data on effect of education on wages
set.seed(73)
N <- 500 #simulate 500 people
U_sim <- rnorm(N)
Q_sim <- sample(1:4,size = N,replace = TRUE) # quarter of the year each person is born in
E_sim <- rnorm(N, U_sim+Q_sim) # larger value of Q_sim associated with more education, beta_QE is one
W_sim <- rnorm(N, U_sim+0*E_sim) #education has no effect on wages, beta_EW is zero
dat_sim <- list(
W = standardize(W_sim),
E = standardize(E_sim),
Q = standardize(Q_sim)
)E and W confounded by U, without knowing U, directly regress wages on education would generate the inference of “education leads to higher wages”
m14.4 <- ulam(
alist(
W ~ dnorm(mu,sigma),
mu <- aW + bEW*E,
aW ~ dnorm(0,0.2),
bEW ~ dnorm(0,0.5),
sigma ~ dexp(1)
),data = dat_sim, chains = 4, cores = 4
)trankplot(m14.4)
precis(m14.4)## mean sd 5.5% 94.5% n_eff Rhat4
## aW 0.001202152 0.04037652 -0.06347356 0.06607981 1706.487 1.0029059
## bEW 0.397292299 0.03973951 0.33541289 0.45833100 1786.064 1.0015440
## sigma 0.918847608 0.03116978 0.86996310 0.97097246 1846.831 0.9990899Consider W & E as covariance caused by the unknown confounder U
m14.5 <- ulam(
alist(
c(W,E) ~ multi_normal(c(muW,muE), Rho, Sigma),
muW <- aW + bEW * E,
muE <- aE + bQE * Q,
c(aW,aE) ~ normal(0,0.2),
c(bEW,bQE) ~ normal(0,0.5),
Rho ~ lkj_corr(2),
Sigma ~ exponential(1)
), data = dat_sim, chains = 4, cores = 4
)## Warning: The largest R-hat is NA, indicating chains have not mixed.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#r-hat## Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#bulk-ess## Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#tail-esstrankplot(m14.5)
plot(precis(m14.5,depth = 3))
try other simulations, sample from posterior !new code
m14.4x <- ulam(m14.4, data = dat_sim, chains = 4, cores = 4)
m14.5x <- ulam(m14.5, data = dat_sim, chains = 4, cores = 4)## Warning: The largest R-hat is NA, indicating chains have not mixed.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#r-hat## Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#bulk-ess## Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#tail-esssimulate a positive effect of education on wages
set.seed(73)
N <- 500 #simulate 500 people
U_sim <- rnorm(N)
Q_sim <- sample(1:4,size = N,replace = TRUE) # quarter of the year each person is born in
E_sim <- rnorm(N, U_sim+Q_sim) # larger value of Q_sim associated with more education, beta_QE is one
W_sim <- rnorm(N, U_sim+0.2*E_sim) #education has no effect on wages, beta_EW is zero
dat_sim <- list(
W = standardize(W_sim),
E = standardize(E_sim),
Q = standardize(Q_sim)
)library(dagitty)
dagIV <- dagitty("dag{
E -> W
E <- U -> W
Q -> E
}")
instrumentalVariables(dagIV, exposure = "E", outcome = "W")## QLook at the data from the paper later
- Attached are data from an experiment measuring hypocotyl length in ~ 180 natural arabidopsis accessions grown in high and low red:far-red light. We want to know if there are differences in accessions in their length in high R:FR (“H”) and in their response to low R:FR(“L”). Also we want to obtain an estimate for hypocotyl length for each accession in high and low R:FR for downstream GWAS analysis.
Relevant variables: length – hypocotyl length line – unique ID for each accession (you could also use nativename) light – indicator for high or low RFR exp – two independent experiments were done plate – this is an incomplete block design with a subset (10? 12?) of accessions on each plate.
library(rethinking)
hypocotypl <- read.csv(file = "hyp.lengths.both.experiments.labels.csv",stringsAsFactors = FALSE)
hypocotypl$S =ifelse(hypocotypl$light=="H",1L,2L)
hypocotypl$E =ifelse(hypocotypl$exp =="A",1L,2L)
hypocotypl$L = standardize(hypocotypl$length)
#plate_levels <- c(1:152)
hypocotypl$P <- as.numeric(as.factor(hypocotypl$plate))
d <- list(
S = hypocotypl$S,
E = hypocotypl$E,
L = hypocotypl$L,
P = hypocotypl$P,
A = as.numeric(as.factor(hypocotypl$line))
)Let’s try a variety of increasingly complex models: No pooling
m1 <- ulam(
alist(
L ~ dnorm(mu,sigma), #normal() ?
mu <- a+b_shield*S, #a mean light treatment effect on accesion
a ~ dnorm(0,1.5),
b_shield ~ dnorm(0,1.5),
sigma ~ dexp(1) #exponential()
),data = d, chains = 4, cores = 4, log_lik = TRUE
)trankplot(m1)
precis(m1)## mean sd 5.5% 94.5% n_eff Rhat4
## a -1.1924094 0.02283038 -1.2276893 -1.1556870 588.0834 1.004075
## b_shield 0.7984943 0.01444250 0.7757436 0.8209195 587.8724 1.004301
## sigma 0.9169321 0.00478514 0.9094555 0.9248346 1020.5223 1.001979the standardized mean length is around 0.4 high red:far-red light ratio a negative influence on hypocotyl length on all accesions in general there is a large variation within the data
Partial pooling of intercepts and slopes for line and intercepts for plate and experiment, but treat each variable separately (no multivariate component). you might also consider adding an experiment slope effect
#no experiment slope effect
m2 <- ulam(
alist(
L ~ dnorm(mu,sigma),
mu <- a[A]+b[A]*S+a_p[P]+a_e[E],
# partial pooling & adaptative prior
a[A] ~ dnorm(a_bar,sigma),
a_bar ~ dnorm(0,1.5),
sigma ~ dexp(1),
b[A] ~ dnorm(0,sigma_b),
sigma_b ~ dexp(1),
a_p[P] ~ dnorm(0,sigma_p),
sigma_p ~ dexp(1),
a_e[E] ~ dnorm(0,sigma_e),
sigma_e ~ dexp(1)
),data = d, chains = 4, cores = 4, log_lik = TRUE, iter = 4000
)## Warning: There were 2 divergent transitions after warmup. Increasing adapt_delta above 0.95 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup## Warning: There were 1998 transitions after warmup that exceeded the maximum treedepth. Increase max_treedepth above 10. See
## http://mc-stan.org/misc/warnings.html#maximum-treedepth-exceeded## Warning: Examine the pairs() plot to diagnose sampling problems## Warning: The largest R-hat is 1.25, indicating chains have not mixed.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#r-hat## Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#bulk-ess## Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
## Running the chains for more iterations may help. See
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n_eff is < 50 for a[accesion], doubt if it could get much better with more iterations,model should be modified other parameters b[accesion] is very good a[p] bad ~500 n_eff a[e] bad ~50
precis(m2,depth = 2)## mean sd 5.5% 94.5% n_eff
## a[1] -8.993198e-03 0.612994853 -0.715867992 1.3521948122 10.555497
## a[2] -4.881919e-01 0.610556713 -1.190763857 0.8895359747 10.403505
## a[3] -5.805471e-01 0.639219982 -1.372399903 0.7951190729 11.337319
## a[4] 1.643458e+00 0.617972899 0.926923459 3.0037344449 10.549210
## a[5] 8.926347e-01 0.613656541 0.186430109 2.2649305514 10.376458
## a[6] 5.519179e-01 0.607281897 -0.136366772 1.9100356870 10.509745
## a[7] -6.302099e-01 0.621703888 -1.357284545 0.7410158182 10.696874
## a[8] -8.517612e-01 0.634920928 -1.625129626 0.5171026700 11.130788
## a[9] -5.166839e-01 0.668165041 -1.375540381 0.8543862193 12.639682
## a[10] -2.205146e-01 0.689378822 -1.125029611 1.1672972574 13.077105
## a[11] -1.495422e+00 0.611813982 -2.201080200 -0.1217016394 10.385316
## a[12] -5.055267e-01 0.617542937 -1.231550157 0.8488461303 10.786162
## a[13] -3.999410e-01 0.606564864 -1.090778195 0.9510958229 10.471886
## a[14] 1.342806e-01 0.614731164 -0.580094604 1.4888897382 10.977706
## a[15] -4.603013e-05 0.616174093 -0.728338237 1.3378506078 10.457147
## a[16] -6.834861e-01 0.612209745 -1.395545768 0.6669190872 10.503295
## a[17] 8.184225e-02 0.612912198 -0.614014911 1.4281486405 10.550251
## a[18] -6.536811e-01 0.629176653 -1.422552180 0.7190967722 11.210585
## a[19] -4.534483e-01 0.614448606 -1.164445938 0.8996439821 10.641967
## a[20] 4.119764e-01 0.607020957 -0.271292784 1.7676292154 10.256053
## a[21] -5.150840e-01 0.603167465 -1.204605506 0.8401895250 10.500961
## a[22] -9.436066e-01 0.602718432 -1.640768324 0.3971160724 10.335780
## a[23] -1.125325e+00 0.603438055 -1.808633215 0.2238233338 10.353337
## a[24] 3.581600e-01 0.604803586 -0.333112443 1.7160537516 10.421229
## a[25] 9.337365e-01 0.609770009 0.238800903 2.3004094723 10.382773
## a[26] -3.704922e-01 0.649329565 -1.190403620 1.0192216867 11.960462
## a[27] -1.171159e+00 0.613355329 -1.896389015 0.1991683479 10.583658
## a[28] -1.184568e+00 0.607259306 -1.866110652 0.1704310473 10.257652
## a[29] -1.089368e-01 0.616926012 -0.822345564 1.2635402261 10.602027
## a[30] 3.566537e-01 0.602824772 -0.323827696 1.7070103522 10.270533
## a[31] -2.855541e-01 0.614036035 -0.995295479 1.0828065322 10.556588
## a[32] -5.201418e-01 0.700007517 -1.451303027 0.8762511613 13.321835
## a[33] -1.432909e+00 0.609000634 -2.145158142 -0.0650166210 10.534246
## a[34] 2.290104e+00 0.604675890 1.601644519 3.6468013979 10.377454
## a[35] 2.007844e+00 0.607282840 1.322060033 3.3620474099 10.276873
## a[36] 5.862058e-02 0.602447195 -0.640100823 1.4018152374 10.279805
## a[37] 3.152107e-01 0.606085305 -0.370613266 1.6826190843 10.272285
## a[38] -9.370901e-02 0.604840868 -0.785740663 1.2620867396 10.441078
## a[39] -8.018864e-01 0.606965031 -1.503744681 0.5604015830 10.333376
## a[40] 3.033794e-01 0.713083174 -0.655671617 1.7212224799 13.664769
## a[41] 2.276134e+00 0.607626525 1.567889078 3.6285912525 10.541465
## a[42] -1.784973e+00 0.608598136 -2.485732378 -0.4323291526 10.544961
## a[43] 2.209269e-01 0.609415869 -0.486982146 1.5781648967 10.525807
## a[44] -1.142281e+00 0.631697893 -1.896523279 0.2373676972 10.893504
## a[45] -3.076562e-01 0.629084097 -1.076734577 1.0626464699 11.387604
## a[46] -1.667042e-01 0.617360021 -0.885635589 1.1968079057 10.734317
## a[47] 1.278426e+00 0.609904921 0.565012777 2.6423616430 10.566662
## a[48] 6.668435e-01 0.609663185 -0.013855128 2.0148986083 10.256177
## a[49] 5.828408e-01 0.609346543 -0.111350247 1.9564611727 10.561364
## a[50] 4.632238e-01 0.608604438 -0.240357554 1.8209749280 10.543952
## a[51] 1.321331e-01 0.606206502 -0.572031109 1.4926244567 10.339769
## a[52] -3.471055e-01 0.613605238 -1.054033481 1.0202673335 10.498791
## a[53] 1.398476e+00 0.616511793 0.666765845 2.7547870808 10.648881
## a[54] -1.268044e-01 0.607484646 -0.832181600 1.2072811253 10.643559
## a[55] 3.240228e-01 0.631499104 -0.440043728 1.6901765337 11.045782
## a[56] -4.098513e-01 0.605038238 -1.091133854 0.9333183964 10.357234
## a[57] -3.551024e-01 0.613395983 -1.067068733 0.9985760186 10.582497
## a[58] -3.385407e-01 0.607579966 -1.047736368 1.0158622359 10.420779
## a[59] -6.383168e-01 0.608347933 -1.339980939 0.7202107677 10.518435
## a[60] 2.197334e+00 0.604343146 1.499007764 3.5564695852 10.340184
## a[61] -6.809324e-01 0.616638684 -1.390494267 0.6755877570 10.705165
## a[62] 5.536092e-01 0.605803268 -0.137972406 1.9029215310 10.344763
## a[63] 1.888596e+00 0.612696126 1.176291124 3.2599042136 10.492678
## a[64] -5.557725e-01 0.611730675 -1.265517701 0.8077674280 10.320620
## a[65] -3.414934e-01 0.612511492 -1.061526183 1.0255486369 10.605078
## a[66] -8.097987e-01 0.612246425 -1.517920484 0.5400058640 10.437812
## a[67] -7.869077e-01 0.644638772 -1.583508510 0.5745650003 11.587089
## a[68] 1.049557e+00 0.602078119 0.355665055 2.3933332285 10.296099
## a[69] 1.108051e-01 0.610751565 -0.589831800 1.4732909645 10.414260
## a[70] -1.071289e+00 0.622589737 -1.797017198 0.2992394818 10.924321
## a[71] -7.271152e-01 0.617551039 -1.456270571 0.6286057262 10.777892
## a[72] 1.783649e+00 0.604334805 1.091213629 3.1299812022 10.459385
## a[73] -1.901780e-01 0.728664516 -1.178752859 1.2078097929 14.252288
## a[74] 1.371161e+00 0.609826743 0.664545930 2.7268547912 10.421581
## a[75] 8.567218e-01 0.604163094 0.170049695 2.2036392676 10.245350
## a[76] 4.310638e-01 0.611173457 -0.275760574 1.7918505417 10.608796
## a[77] 1.586348e-02 0.617278229 -0.698000183 1.3768848973 10.653091
## a[78] 1.659784e+00 0.606050871 0.959120970 3.0267020406 10.405650
## a[79] 9.502452e-01 0.607081606 0.259636039 2.3153186007 10.477879
## a[80] 8.638829e-01 0.620604055 0.144408585 2.2476311508 10.743233
## a[81] -5.015877e-01 0.724130795 -1.471207495 0.9190928783 14.044348
## a[82] -2.412968e-01 0.608221974 -0.930813694 1.1188190776 10.445122
## a[83] 1.290707e-01 0.607313425 -0.556117762 1.4953837083 10.484382
## a[84] -3.500589e-02 0.701175808 -0.962255399 1.3636890686 13.546840
## a[85] 1.790898e-01 0.614525582 -0.532507670 1.5289943707 10.620042
## a[86] -5.628809e-01 0.635069748 -1.326686058 0.8217077026 11.089704
## a[87] -1.438962e+00 0.623448695 -2.178334036 -0.0708696123 10.678626
## a[88] 1.964009e-01 0.606158637 -0.493436033 1.5614540574 10.404605
## a[89] -9.455722e-01 0.675140522 -1.808411792 0.4272317065 12.722601
## a[90] 1.218325e+00 0.614381575 0.493389808 2.5802725862 10.640221
## a[91] 1.743531e+00 0.622133563 1.012044177 3.1103483166 10.844536
## a[92] 3.223446e-01 0.612388655 -0.389967681 1.6745283308 10.569500
## a[93] 8.350078e-01 0.628510045 0.085583198 2.1974193401 11.118473
## a[94] 8.180443e-01 0.617402828 0.096199683 2.1732989894 10.863686
## a[95] 1.991262e+00 0.626636535 1.245022720 3.3502710893 10.855818
## a[96] -6.938691e-01 0.668164919 -1.554960235 0.6825715483 12.634343
## a[97] -5.907306e-01 0.633424016 -1.344970535 0.7954148807 11.488641
## a[98] -1.299817e+00 0.610146622 -1.993412107 0.0469929441 10.551537
## a[99] -1.119856e+00 0.611691199 -1.826338604 0.2404660906 10.539472
## a[100] 5.050315e-02 0.607123146 -0.656270997 1.4079835323 10.336603
## a[101] -5.084341e-01 0.612193218 -1.202775949 0.8458948617 10.455110
## a[102] -4.375729e-01 0.707499945 -1.402706682 0.9537564153 14.154918
## a[103] -5.860490e-01 0.620106593 -1.306628210 0.7704914565 10.753515
## a[104] -4.778870e-02 0.676452263 -0.929923319 1.3121652126 12.628274
## a[105] -9.804827e-02 0.618242379 -0.830452952 1.2666667816 10.745083
## a[106] 1.204954e+00 0.614180752 0.506052766 2.5682714588 10.347061
## a[107] 3.673200e-01 0.615145691 -0.338223181 1.7381539608 10.511617
## a[108] -7.076908e-01 0.677404555 -1.580261068 0.7080831688 12.656020
## a[109] -1.835382e-02 0.625611409 -0.781798440 1.3511656816 11.031971
## a[110] -1.295367e+00 0.650766026 -2.097521083 0.0675908811 11.687282
## a[111] 7.791881e-01 0.620725183 0.045570967 2.1422071825 10.674825
## a[112] -8.677971e-01 0.628646959 -1.631885004 0.5072897080 11.156671
## a[113] 1.943813e-01 0.613535477 -0.517628884 1.5598106330 10.590675
## a[114] -5.574605e-01 0.606526421 -1.259977254 0.7972354841 10.473816
## a[115] 1.116847e+00 0.617818668 0.394693825 2.4747097476 10.686092
## a[116] -1.657088e+00 0.610460066 -2.357530591 -0.3076355728 10.416587
## a[117] -1.342501e+00 0.630775590 -2.109530226 0.0219561761 11.386665
## a[118] 1.104339e+00 0.602019521 0.414374314 2.4683794914 10.322503
## a[119] -7.203890e-01 0.603523385 -1.414192765 0.6355354185 10.256078
## a[120] -9.993161e-01 0.670442522 -1.849485258 0.3882186089 12.510288
## a[121] -4.394159e-01 0.704924125 -1.378472991 0.9708390800 13.951371
## a[122] 9.353755e-01 0.605581694 0.234348344 2.2797186818 10.272989
## a[123] 3.930819e-01 0.605644726 -0.297885562 1.7465684710 10.337214
## a[124] 1.117255e+00 0.604736546 0.425225948 2.4723017220 10.279075
## a[125] -4.537980e-01 0.606940479 -1.153343773 0.9140347754 10.366132
## a[126] -3.918149e-01 0.647137773 -1.197947677 0.9695973110 11.890376
## a[127] -1.143352e+00 0.614432504 -1.851490174 0.2257248599 10.510184
## a[128] -1.221433e+00 0.610414347 -1.930091389 0.1332731378 10.570457
## a[129] 1.368421e+00 0.606258232 0.658401706 2.7137940388 10.600480
## a[130] -2.088511e-01 0.611138361 -0.909965894 1.1783581993 10.706477
## a[131] -8.248750e-01 0.618748418 -1.554508268 0.5379066744 10.781209
## a[132] 1.042796e-01 0.602772869 -0.581994849 1.4504361569 10.302692
## a[133] -2.773421e-01 0.606397582 -0.962841750 1.0777243438 10.429295
## a[134] -6.472160e-02 0.760059875 -1.140457115 1.3604893741 16.556261
## a[135] -1.889170e-01 0.653762997 -1.012388566 1.1552620915 11.925325
## a[136] -1.082192e+00 0.669111717 -1.960003602 0.2968302906 13.228540
## a[137] -6.262093e-01 0.606077893 -1.325019700 0.7315456044 10.394730
## a[138] -1.223083e+00 0.611899091 -1.930874457 0.1372598113 10.533334
## a[139] 1.736077e-01 0.607458745 -0.534370597 1.5407673806 10.573337
## a[140] 7.564311e-02 0.604086006 -0.613528207 1.4350776369 10.283795
## a[141] -5.058330e-01 0.639666935 -1.280234496 0.8614290608 11.487852
## a[142] 1.016727e+00 0.605415751 0.326028926 2.3673056507 10.310525
## a[143] 1.434356e-01 0.615344063 -0.576756034 1.4992576481 10.530644
## a[144] 1.316283e+00 0.610665375 0.610345460 2.6792385177 10.415479
## a[145] 6.751280e-01 0.606622995 -0.013381205 2.0394409361 10.479548
## a[146] 6.251969e-01 0.615380337 -0.103706812 1.9746843800 10.920646
## a[147] -7.530772e-02 0.605256332 -0.771842103 1.2797595296 10.349907
## a[148] -3.345603e-01 0.608366755 -1.030330916 1.0355899681 10.587943
## a[149] -6.764353e-01 0.611167123 -1.379826148 0.6815313492 10.446478
## a[150] -1.152092e+00 0.610434804 -1.854054143 0.2100350565 10.529086
## a[151] 1.714826e-01 0.682459620 -0.720098300 1.5553318463 12.723744
## a[152] -8.116522e-01 0.617281303 -1.532588548 0.5396250126 10.823168
## a[153] -1.004517e+00 0.614907407 -1.732223734 0.3677033755 10.578328
## a[154] -6.819648e-02 0.613589568 -0.775842890 1.2907889047 10.524813
## a[155] -4.395646e-01 0.611133139 -1.142649743 0.9308703783 10.630335
## a[156] 8.021736e-01 0.630979042 0.050280236 2.1589119736 11.168433
## a[157] 3.430101e-01 0.611477304 -0.364570805 1.7027979888 10.491638
## a[158] -2.578474e-01 0.728429939 -1.249407477 1.1783895194 14.440098
## a[159] -2.999089e-02 0.618228717 -0.752094671 1.3295337036 10.712128
## a[160] 6.241124e-02 0.615402835 -0.658777366 1.4304678423 10.511921
## a[161] -8.651954e-01 0.609879925 -1.560409388 0.4933987660 10.464208
## a[162] 6.322802e-01 0.604536666 -0.057036931 1.9970244264 10.304960
## a[163] 9.900085e-01 0.607327598 0.302680045 2.3407874905 10.379094
## a[164] 1.105460e-01 0.614587624 -0.615762571 1.4737900806 10.433565
## a[165] -1.194024e+00 0.616625261 -1.911555645 0.1585089434 10.648731
## a[166] -5.238365e-01 0.605689550 -1.217698634 0.8228649335 10.546814
## a[167] -2.288503e-01 0.614310908 -0.944529274 1.1325159795 10.488021
## a[168] 8.929559e-01 0.614600852 0.177686827 2.2636374769 10.603434
## a[169] -7.113341e-01 0.610044703 -1.406616919 0.6429132112 10.440687
## a[170] -3.761951e-01 0.608615772 -1.069973439 0.9896559775 10.386923
## a[171] -6.269771e-01 0.613253948 -1.329956162 0.7472186389 10.471674
## a[172] 5.667086e-01 0.608603601 -0.133168268 1.9369415365 10.297746
## a[173] 1.663807e+00 0.607790536 0.958706972 3.0103884840 10.301660
## a[174] -7.808645e-01 0.607424572 -1.465005042 0.5806583322 10.268208
## a[175] -5.094093e-01 0.709232971 -1.472150016 0.9067663550 14.203754
## a[176] -4.490700e-01 0.611923506 -1.151571757 0.9110118320 10.328296
## a[177] 7.339870e-01 0.608299328 0.039441312 2.0955016176 10.397549
## a[178] -8.982964e-01 0.607198175 -1.594353107 0.4699313264 10.387757
## a[179] -1.769107e+00 0.604302226 -2.458955238 -0.4162071817 10.473586
## a[180] -1.011431e+00 0.613491831 -1.722973455 0.3686668991 10.488890
## a_bar -4.965460e-02 0.586626070 -0.689107087 1.3054139426 9.789524
## sigma 5.851688e-01 0.003116485 0.580192915 0.5901936037 11786.554173
## b[1] -1.864795e-03 0.114216707 -0.185684706 0.1804969024 4002.824327
## b[2] 1.480616e-01 0.110392568 -0.028059431 0.3269768252 4058.601026
## b[3] 6.363737e-01 0.159550440 0.382033779 0.8930635827 5465.827725
## b[4] 4.066645e-01 0.124730586 0.208057558 0.6055808856 4149.852744
## b[5] 6.325039e-02 0.116022251 -0.120041268 0.2493526173 3967.623683
## b[6] -2.705643e-01 0.105751594 -0.440852683 -0.1032600949 4232.564869
## b[7] 9.605123e-02 0.130025448 -0.110167689 0.3037239865 4624.595767
## b[8] 2.012563e-01 0.158749414 -0.045825710 0.4615608731 6432.563449
## b[9] 1.920248e-01 0.248500101 -0.204019614 0.5899161785 8912.294171
## b[10] 6.708863e-02 0.210803193 -0.263806118 0.4107936714 8658.061352
## b[11] 3.392713e-01 0.113365259 0.158109617 0.5190995695 3786.894429
## b[12] -4.670842e-02 0.124513692 -0.244512027 0.1506910096 4729.051611
## b[13] 2.000410e-01 0.102331385 0.037133893 0.3633533416 3131.312109
## b[14] 8.207901e-02 0.118394625 -0.108119008 0.2704749141 4607.058326
## b[15] -4.876463e-02 0.130814304 -0.256592659 0.1580930151 5984.297570
## b[16] 1.820109e-01 0.109904161 0.004126561 0.3568235873 3745.431774
## b[17] 5.615510e-02 0.124570617 -0.141343619 0.2535689970 5317.556315
## b[18] 2.140961e-01 0.166239484 -0.050030685 0.4792276440 7028.330283
## b[19] 4.225999e-02 0.121777777 -0.153723844 0.2391800635 4445.576481
## b[20] 2.499689e-01 0.098318838 0.090074635 0.4051522295 3533.161264
## b[21] 2.378693e-01 0.102850025 0.072790360 0.4022609395 2732.759729
## b[22] 6.850331e-01 0.101336815 0.524941719 0.8481674313 3346.940286
## b[23] 6.404975e-01 0.102596862 0.475677563 0.8067079249 3237.386728
## b[24] -3.413119e-01 0.107590733 -0.513183286 -0.1710812499 5169.844443
## b[25] 6.931976e-03 0.104517708 -0.159145713 0.1741900136 4253.860295
## b[26] 1.180115e-01 0.190237280 -0.184473209 0.4246003407 7271.520699
## b[27] 1.501626e-01 0.114658303 -0.026985958 0.3345632596 4907.398659
## b[28] 8.331821e-01 0.104488434 0.666753083 1.0017863305 3015.771499
## b[29] 2.002092e-01 0.131255176 -0.007442472 0.4075362165 5155.427443
## b[30] -3.508625e-01 0.097611750 -0.505125877 -0.1952605318 3730.389397
## b[31] 7.285718e-01 0.112261137 0.550532366 0.9062857635 3821.342499
## b[32] 7.369591e-02 0.220107128 -0.277913807 0.4235284433 8152.876184
## b[33] 5.795870e-01 0.112671063 0.400858627 0.7576249503 2965.599432
## b[34] -1.690105e-01 0.098762183 -0.326014841 -0.0094569259 3583.961415
## b[35] -1.614545e-01 0.103655659 -0.329945359 0.0025796143 4236.005516
## b[36] 8.928664e-02 0.101510212 -0.073027211 0.2504332798 4024.082984
## b[37] 1.935948e-02 0.099622995 -0.142035267 0.1807421644 3194.853078
## b[38] 2.421994e-01 0.099831188 0.080982240 0.3983722130 3617.437623
## b[39] 2.840458e-01 0.100703757 0.122243511 0.4444437865 3184.478446
## b[40] -1.181936e-01 0.247313373 -0.516433801 0.2802121577 8783.875590
## b[41] -8.568909e-01 0.111998272 -1.034446589 -0.6777088989 5197.583303
## b[42] 8.483756e-01 0.108289911 0.676462499 1.0203129216 3553.711153
## b[43] -5.184889e-02 0.121251044 -0.243589801 0.1425577270 5612.355274
## b[44] 4.234238e-01 0.150165541 0.182913634 0.6648655430 5576.761878
## b[45] -1.632252e-01 0.153244834 -0.408951944 0.0815845329 8121.351172
## b[46] -1.047768e-01 0.123217317 -0.296793380 0.0914905075 5435.868738
## b[47] -3.221195e-02 0.112142784 -0.212110277 0.1473728267 4320.735591
## b[48] 9.018901e-02 0.099418244 -0.069941965 0.2492765772 3210.042481
## b[49] -1.593771e-01 0.109066084 -0.331766636 0.0173276804 4620.492240
## b[50] -2.255008e-01 0.099253991 -0.381934122 -0.0648791656 3545.464479
## b[51] -2.205207e-01 0.104566223 -0.389282496 -0.0542948142 3887.648450
## b[52] 1.039043e-02 0.112350532 -0.166369359 0.1907212162 3407.311996
## b[53] -3.145514e-01 0.126363888 -0.514706610 -0.1112055157 4938.886389
## b[54] 9.494257e-02 0.109851001 -0.082696610 0.2690419115 3733.214048
## b[55] -8.808667e-02 0.151546895 -0.330542927 0.1518302785 6186.703088
## b[56] 3.827513e-01 0.106212402 0.214205214 0.5513168211 3776.067094
## b[57] 2.132003e-01 0.124849478 0.014152751 0.4145054145 4869.491698
## b[58] 6.472531e-02 0.111743467 -0.116254459 0.2453063611 5446.665497
## b[59] 2.228305e-01 0.110561689 0.046118145 0.4010505343 3217.283281
## b[60] -1.030186e-01 0.101091312 -0.264195845 0.0581100760 4465.568218
## b[61] 4.738803e-01 0.118690958 0.285291050 0.6626073502 4137.451641
## b[62] -1.776389e-01 0.103034183 -0.340229721 -0.0107770732 4287.593224
## b[63] 1.352630e-02 0.116738261 -0.169818451 0.1984382056 3762.783783
## b[64] 3.486033e-01 0.105322876 0.181157190 0.5162916643 3101.937723
## b[65] 1.673936e-01 0.114310308 -0.015761442 0.3507389865 3714.004887
## b[66] 1.805267e-01 0.112632204 0.002993343 0.3574904826 4292.137002
## b[67] 1.592911e-02 0.197899601 -0.298569137 0.3279508684 8328.410522
## b[68] -3.292171e-01 0.105917281 -0.499820850 -0.1634040950 4802.708243
## b[69] 1.318499e-01 0.110990961 -0.044941848 0.3060584918 3720.240819
## b[70] 7.124955e-01 0.140832557 0.487879917 0.9379538457 5038.309607
## b[71] 3.306377e-01 0.133545871 0.116902868 0.5451381564 6184.199817
## b[72] -4.791900e-01 0.100192808 -0.637687677 -0.3219345720 3475.737288
## b[73] -5.249115e-02 0.323512388 -0.565562125 0.4641680806 10163.956910
## b[74] -1.290207e-01 0.106838165 -0.300333320 0.0415181398 4449.190084
## b[75] -2.983186e-01 0.099221899 -0.456144156 -0.1400098555 3501.824930
## b[76] -3.077048e-01 0.114574269 -0.489690730 -0.1223241197 5252.263799
## b[77] 4.789198e-02 0.126604582 -0.155553475 0.2517815471 5252.167586
## b[78] -3.355558e-01 0.104423827 -0.502522534 -0.1688047200 4253.070903
## b[79] -3.284963e-01 0.103708535 -0.493119802 -0.1627606452 4021.454982
## b[80] -1.175945e-01 0.128230662 -0.322905272 0.0859254133 4579.694348
## b[81] -2.689072e-02 0.250307105 -0.423583045 0.3782635520 8284.008588
## b[82] -1.606588e-02 0.102035670 -0.179118371 0.1468274280 3612.303719
## b[83] 1.113370e-01 0.106419223 -0.062382014 0.2793528731 4148.437480
## b[84] -2.056263e-01 0.252090314 -0.614181281 0.2030120354 8915.552233
## b[85] -1.212357e-01 0.113113994 -0.301836515 0.0610518702 3453.984089
## b[86] -5.879305e-02 0.158198289 -0.309420128 0.1925163880 6069.234781
## b[87] 5.752786e-01 0.135449477 0.361235036 0.7936825168 4388.515133
## b[88] -1.999051e-01 0.107847136 -0.373407868 -0.0283354392 4669.051778
## b[89] 2.995299e-01 0.204705134 -0.028484946 0.6314794831 7207.054282
## b[90] -2.352526e-01 0.120088775 -0.429118258 -0.0476001285 5460.979950
## b[91] -2.052625e-01 0.132479647 -0.416462650 0.0105921261 5986.259242
## b[92] 8.251877e-02 0.115799292 -0.104646182 0.2681860369 4300.875522
## b[93] -3.165530e-01 0.162597373 -0.574535246 -0.0561374867 7735.962458
## b[94] -2.081403e-01 0.129494217 -0.415092520 -0.0028782227 5250.928102
## b[95] -2.327198e-01 0.136888165 -0.455283797 -0.0137974745 6576.961243
## b[96] -5.170364e-02 0.263289902 -0.474035337 0.3625750133 8784.740618
## b[97] 8.241173e-02 0.159202932 -0.174992945 0.3366990908 6643.790110
## b[98] 5.812260e-01 0.107269003 0.410885919 0.7545553294 3940.671311
## b[99] 7.652294e-01 0.112917983 0.583568735 0.9496735932 3798.309595
## b[100] 6.102002e-03 0.106951094 -0.161485135 0.1784307025 4242.199704
## b[101] 3.354535e-01 0.118403224 0.144927214 0.5269801910 4106.212491
## b[102] -1.366492e-01 0.314949068 -0.647356571 0.3630020237 9638.396341
## b[103] 3.408811e-01 0.130089881 0.136116242 0.5498653161 5366.821905
## b[104] -5.271075e-02 0.268684854 -0.482843917 0.3716635535 7770.901788
## b[105] 1.550155e-01 0.131274735 -0.054136453 0.3654800011 4898.657753
## b[106] -2.652092e-01 0.119811012 -0.456599404 -0.0743792006 5528.249472
## b[107] 3.934463e-01 0.116062493 0.208931377 0.5775317913 4470.391247
## b[108] 6.620383e-02 0.209047427 -0.271703304 0.4009055028 8223.347321
## b[109] -3.902126e-01 0.154737542 -0.638143594 -0.1405958365 7323.043702
## b[110] 5.729800e-01 0.222043392 0.215671216 0.9259053026 6963.138714
## b[111] -2.861278e-01 0.129380929 -0.495923229 -0.0831562236 5679.439552
## b[112] -9.353597e-02 0.158443896 -0.346619615 0.1577139199 7301.524279
## b[113] -1.110134e-01 0.118975762 -0.298776668 0.0809964168 4302.398072
## b[114] 6.264435e-02 0.109086627 -0.111693221 0.2353593998 4388.019222
## b[115] -3.221588e-01 0.127106909 -0.528551142 -0.1202262196 6109.249443
## b[116] 7.278947e-01 0.115585546 0.541180150 0.9147280302 3351.371857
## b[117] 8.415016e-01 0.143271897 0.610561738 1.0673564137 4031.180355
## b[118] -1.775631e-01 0.102143503 -0.340527705 -0.0118500483 3836.741834
## b[119] 2.171607e-01 0.100124127 0.055367049 0.3735404751 4053.613004
## b[120] 2.365860e-02 0.233480783 -0.344717707 0.4004299303 8437.902254
## b[121] -1.431955e-01 0.314698772 -0.650750829 0.3510843457 9196.746357
## b[122] -2.308094e-01 0.101692767 -0.392610568 -0.0707073968 3702.921998
## b[123] 2.285833e-02 0.109438381 -0.152949727 0.2001192385 3400.277005
## b[124] -1.912743e-01 0.095348237 -0.345882351 -0.0379017128 3169.184075
## b[125] 2.053580e-01 0.104937470 0.040334942 0.3723195789 3277.608772
## b[126] 1.498463e-01 0.171042692 -0.120187087 0.4280986363 6033.421527
## b[127] 5.914949e-01 0.114331039 0.410115330 0.7733546901 3873.855937
## b[128] 3.819012e-01 0.114125396 0.199170398 0.5619676671 3630.234686
## b[129] -2.147848e-01 0.108926856 -0.387876829 -0.0413975879 3627.826190
## b[130] 2.266427e-01 0.119458914 0.035871058 0.4211014749 3864.804581
## b[131] 4.580570e-01 0.126853161 0.256920908 0.6632172073 4702.237339
## b[132] -3.820427e-02 0.100229086 -0.199211108 0.1188787228 4018.338799
## b[133] 3.850997e-01 0.105670016 0.218037303 0.5530572726 4259.771546
## b[134] -1.969660e-02 0.268503654 -0.452289253 0.4137374548 8427.480723
## b[135] 2.357592e-02 0.184196966 -0.265104643 0.3194076318 8363.031677
## b[136] -4.866020e-02 0.245064504 -0.438380925 0.3405126276 8501.234251
## b[137] 2.374203e-01 0.105554172 0.067464647 0.4075709853 3693.752392
## b[138] 2.424399e-01 0.112029610 0.065080355 0.4209937660 4097.485790
## b[139] 2.663935e-01 0.112337182 0.086555064 0.4474743810 3789.085474
## b[140] 9.411503e-02 0.101807482 -0.070003721 0.2564532831 3894.517580
## b[141] 3.920633e-01 0.168513617 0.121772315 0.6648681921 7403.461085
## b[142] -4.507401e-01 0.102644095 -0.616075033 -0.2897379565 3718.251040
## b[143] -3.248531e-01 0.114221719 -0.505787608 -0.1452290859 4997.305150
## b[144] -5.525485e-01 0.113333912 -0.734080515 -0.3737061293 4529.258689
## b[145] -1.915946e-01 0.110784314 -0.366632718 -0.0140140699 4977.247365
## b[146] -3.951125e-02 0.127471768 -0.243724295 0.1672008143 5351.565138
## b[147] -2.425947e-02 0.104547669 -0.190299838 0.1449953845 3108.310876
## b[148] 2.265461e-01 0.109515780 0.049335032 0.4021340852 3767.467714
## b[149] 4.304152e-01 0.111364723 0.253235498 0.6107230154 3222.401385
## b[150] 3.757263e-01 0.117793672 0.188512707 0.5667360045 5033.055587
## b[151] 9.729093e-02 0.266610507 -0.327326936 0.5299591081 7639.716948
## b[152] 7.362582e-01 0.126144972 0.537247183 0.9407734429 4046.602361
## b[153] 4.924491e-01 0.119199693 0.302316810 0.6829499549 4617.890298
## b[154] 3.527677e-01 0.119494626 0.157718330 0.5438948049 4930.191229
## b[155] 4.289849e-01 0.112421256 0.250637449 0.6096730419 3916.353213
## b[156] -3.814742e-01 0.153932542 -0.630008729 -0.1373521894 6793.704084
## b[157] -9.325175e-02 0.113654456 -0.277554582 0.0858610885 3620.694608
## b[158] -7.328182e-02 0.273073408 -0.503865806 0.3623407323 8291.434185
## b[159] -1.014415e-01 0.131822393 -0.310563714 0.1057113866 5808.805265
## b[160] -5.163938e-02 0.118387244 -0.240005638 0.1333203777 4884.343900
## b[161] 4.015710e-01 0.110381023 0.223891704 0.5760674285 3609.619723
## b[162] -3.326067e-01 0.100985276 -0.495542646 -0.1718760794 3446.915367
## b[163] -2.363334e-01 0.100727616 -0.397611964 -0.0776475991 3640.082249
## b[164] -3.523179e-02 0.121522650 -0.232640633 0.1614046710 5104.303781
## b[165] 8.435124e-02 0.125719375 -0.116925165 0.2825724495 4487.063606
## b[166] 6.592444e-02 0.103987773 -0.098724763 0.2344767077 3221.997855
## b[167] -1.074871e-01 0.118821487 -0.295619265 0.0847168104 4938.772612
## b[168] 1.496678e-01 0.118462388 -0.040874140 0.3384697533 4100.761979
## b[169] 9.068052e-02 0.110551271 -0.086351402 0.2684678621 4085.238165
## b[170] 9.359357e-02 0.111506900 -0.081942251 0.2753811128 4645.441407
## b[171] 3.944327e-01 0.107647564 0.220447417 0.5654485084 3608.790992
## b[172] 1.714821e-01 0.103281427 0.010094781 0.3358381792 3577.152910
## b[173] -3.835031e-01 0.102832446 -0.547326412 -0.2203455289 3771.033126
## b[174] 4.287911e-01 0.099622379 0.269676494 0.5876037310 3078.724992
## b[175] -4.027772e-02 0.266831529 -0.470423614 0.3835960534 8281.776514
## b[176] 3.061943e-01 0.105946811 0.135397763 0.4751385720 3840.584238
## b[177] 4.498144e-01 0.109047037 0.278018765 0.6269773403 3732.798724
## b[178] 3.696931e-01 0.100569246 0.211126335 0.5304649865 2889.241903
## b[179] 8.399142e-01 0.101418827 0.680457665 1.0028827373 2845.952224
## b[180] 4.848744e-01 0.112659472 0.306323900 0.6642716678 3481.996415
## sigma_b 3.523423e-01 0.023476341 0.316940955 0.3915318710 1671.608898
## a_p[1] -7.896417e-01 0.078882255 -0.919236267 -0.6649650951 534.739430
## a_p[2] -1.269525e-01 0.079978803 -0.256244153 -0.0005896595 612.591339
## a_p[3] -4.351899e-01 0.080404158 -0.564633715 -0.3063639583 569.867032
## a_p[4] 2.929949e-01 0.079482836 0.165209127 0.4199771527 575.083151
## a_p[5] -1.810894e-01 0.083610644 -0.314325889 -0.0459629123 589.928806
## a_p[6] 3.743615e-01 0.087225405 0.234688923 0.5160306675 733.982266
## a_p[7] -2.602057e-01 0.079515754 -0.385782945 -0.1349189344 546.465769
## a_p[8] 3.125388e-01 0.080360408 0.185551692 0.4421877267 552.356260
## a_p[9] -2.066257e-01 0.090671441 -0.352095213 -0.0624743721 736.877527
## a_p[10] 5.798499e-01 0.090605319 0.435168249 0.7256796703 749.166039
## a_p[11] -3.255566e-01 0.085675687 -0.461959971 -0.1873107851 679.124950
## a_p[12] 3.696466e-01 0.085255048 0.235623813 0.5065630774 660.470055
## a_p[13] -4.986858e-01 0.082577380 -0.630886062 -0.3654688852 611.577631
## a_p[14] 8.896669e-01 0.087066753 0.750352898 1.0273411675 713.384319
## a_p[15] -1.826468e-01 0.077986865 -0.307539774 -0.0588740770 534.962096
## a_p[16] 1.188096e-01 0.081401033 -0.011218498 0.2505690279 596.685789
## a_p[17] -2.147926e-01 0.084985914 -0.346986926 -0.0793780587 630.373949
## a_p[18] 6.524295e-01 0.086738656 0.512309431 0.7928530773 768.220632
## a_p[19] -4.056051e-01 0.085969446 -0.543669149 -0.2668595171 657.132626
## a_p[20] 2.397421e-01 0.086281462 0.102011472 0.3759585898 642.701306
## a_p[21] -9.271997e-01 0.087036050 -1.067369039 -0.7889210835 589.290250
## a_p[22] -3.801483e-01 0.083309590 -0.515163486 -0.2514926029 661.932585
## a_p[23] -5.528908e-01 0.078439589 -0.678597351 -0.4271797380 559.729803
## a_p[24] 2.277694e-01 0.079781668 0.099849530 0.3542450450 547.147593
## a_p[25] -4.992738e-01 0.085395801 -0.636757663 -0.3630085164 637.851918
## a_p[26] 4.554753e-01 0.089663717 0.309040072 0.5948301114 799.518278
## a_p[27] -6.350488e-01 0.078401358 -0.762599373 -0.5107954999 556.574631
## a_p[28] 3.532160e-02 0.078984250 -0.089314979 0.1619715424 521.303490
## a_p[29] -5.689657e-01 0.090337958 -0.712430474 -0.4254708168 627.649428
## a_p[30] -2.227554e-01 0.089422521 -0.367241806 -0.0795652201 786.262666
## a_p[31] -2.552713e-04 0.077853775 -0.127506962 0.1222067861 561.564522
## a_p[32] 3.302623e-01 0.078179613 0.206850807 0.4552652030 512.787982
## a_p[33] -3.068777e-01 0.087173734 -0.447169320 -0.1689130549 696.425603
## a_p[34] 5.890822e-01 0.084223739 0.453096181 0.7242654090 658.054250
## a_p[35] 2.361076e-01 0.083453595 0.104270046 0.3686795014 605.111936
## a_p[36] 8.053578e-02 0.081448358 -0.047661615 0.2117491026 596.276032
## a_p[37] -4.891241e-01 0.087124488 -0.627641252 -0.3527382345 660.657028
## a_p[38] 6.997568e-01 0.083768039 0.564095992 0.8332811946 685.522602
## a_p[39] -1.086464e-01 0.083239358 -0.243183868 0.0235609022 644.363798
## a_p[40] 6.797272e-01 0.086998916 0.539911683 0.8197998177 635.205601
## a_p[41] -8.150464e-01 0.095096157 -0.968537332 -0.6616810751 870.455441
## a_p[42] 6.820648e-01 0.097445624 0.526260764 0.8365855271 944.357811
## a_p[43] -4.141747e-01 0.081560972 -0.546254831 -0.2851328895 547.922692
## a_p[44] 9.512429e-02 0.081788646 -0.033425445 0.2277746931 598.164741
## a_p[45] -5.522287e-01 0.085837616 -0.690469981 -0.4161602328 618.678651
## a_p[46] 4.819285e-01 0.093082546 0.331510564 0.6308596071 808.057841
## a_p[47] -2.703046e-01 0.083114384 -0.405304148 -0.1414125823 622.652908
## a_p[48] 3.062713e-01 0.082753440 0.175256448 0.4387135461 577.795532
## a_p[49] -7.657255e-01 0.083365673 -0.899492888 -0.6326381785 545.482903
## a_p[50] 3.970331e-01 0.087401715 0.259807058 0.5367756368 770.899576
## a_p[51] -3.352016e-01 0.085216797 -0.472530070 -0.2015146198 658.117434
## a_p[52] 2.188775e-01 0.088268282 0.078074784 0.3603576629 644.376521
## a_p[53] -8.045106e-01 0.092245840 -0.952460807 -0.6608633784 668.644138
## a_p[54] 2.244784e-01 0.092033890 0.076349763 0.3698005685 853.750579
## a_p[55] -3.705635e-01 0.089066556 -0.514942553 -0.2306954280 660.599858
## a_p[56] 2.849081e-01 0.088873299 0.143378506 0.4276280487 750.096219
## a_p[57] -2.911563e-01 0.089623276 -0.432581854 -0.1505108185 731.151100
## a_p[58] 4.190871e-01 0.090792488 0.272316173 0.5654799702 820.057681
## a_p[59] -2.424191e-01 0.081675213 -0.374337825 -0.1128385135 576.217515
## a_p[60] 1.838287e-01 0.079128774 0.059481939 0.3101856217 577.773589
## a_p[61] -2.126169e-01 0.083945546 -0.346151116 -0.0771925068 644.320429
## a_p[62] 4.304762e-01 0.083903795 0.295200278 0.5634350506 651.373787
## a_p[63] 5.926149e-02 0.085359456 -0.076533815 0.1967450373 663.155390
## a_p[64] 4.244957e-01 0.086138900 0.288119417 0.5645884423 654.291726
## a_p[65] -5.461594e-01 0.094120734 -0.695717288 -0.3972859301 726.003064
## a_p[66] 3.167075e-01 0.094801293 0.164680835 0.4679960137 903.048228
## a_p[67] 3.315770e-02 0.086203977 -0.104727044 0.1713639870 647.765869
## a_p[68] 5.220978e-02 0.090251908 -0.091399096 0.1969748147 774.029847
## a_p[69] -2.056671e-01 0.093123638 -0.355445473 -0.0566805967 768.143074
## a_p[70] 4.888717e-01 0.095896072 0.338259893 0.6415627179 856.830880
## a_p[71] -1.350388e-01 0.080458447 -0.262050297 -0.0076023246 599.095552
## a_p[72] 2.906679e-01 0.080298751 0.164543923 0.4204420131 558.929293
## a_p[73] -4.428475e-01 0.092701964 -0.591216579 -0.2950342222 790.378257
## a_p[74] 9.605005e-01 0.090441518 0.818180095 1.1072206105 823.796802
## a_p[75] -5.163249e-01 0.077884381 -0.641119798 -0.3920492609 558.670734
## a_p[76] 2.169093e-01 0.076453436 0.093585325 0.3404246039 508.519403
## a_p[77] -9.175789e-01 0.085333011 -1.053202329 -0.7804252607 605.819531
## a_p[78] 5.883764e-01 0.087028046 0.450117110 0.7306345088 753.973111
## a_p[79] -6.793193e-01 0.083914039 -0.812321213 -0.5452591684 659.684909
## a_p[80] 7.093174e-02 0.081569947 -0.059078638 0.1984854206 590.031529
## a_p[81] -1.845347e-01 0.086450492 -0.324770788 -0.0471793672 666.715129
## a_p[82] 5.314613e-01 0.087807048 0.391169549 0.6717797667 759.059029
## a_p[83] -3.572168e-01 0.082004861 -0.491849903 -0.2274097259 569.305034
## a_p[84] 2.909765e-01 0.083177980 0.157769757 0.4235286069 626.169467
## a_p[85] -1.265588e+00 0.085671136 -1.401168829 -1.1295976513 604.358552
## a_p[86] 4.972915e-01 0.083962905 0.364448030 0.6307806986 715.891944
## a_p[87] -9.307592e-02 0.083275229 -0.228192959 0.0373905809 621.606798
## a_p[88] 1.732719e-01 0.082418827 0.041550445 0.3064713470 581.635134
## a_p[89] -4.057420e-01 0.094005460 -0.556581352 -0.2542805009 723.038701
## a_p[90] 6.893375e-01 0.089826584 0.545055352 0.8326709194 760.511361
## a_p[91] -4.844158e-01 0.084603319 -0.618576017 -0.3503678647 622.753743
## a_p[92] 6.700041e-02 0.082720838 -0.066301271 0.1978129823 587.094678
## a_p[93] -5.367704e-01 0.084720814 -0.671860776 -0.3996528253 721.012405
## a_p[94] 8.839732e-01 0.086915164 0.745335043 1.0212636839 710.301892
## a_p[95] -2.039019e-01 0.078415756 -0.331905493 -0.0790320907 539.486701
## a_p[96] 1.485343e-01 0.079022280 0.022761097 0.2756292583 573.299978
## a_p[97] -5.319538e-01 0.095079121 -0.686275488 -0.3821440606 780.794861
## a_p[98] 6.205402e-01 0.095335295 0.468417158 0.7714278567 908.142180
## a_p[99] -2.567700e-02 0.085432910 -0.163372302 0.1115316633 629.046361
## a_p[100] 2.354944e-01 0.082040038 0.105688678 0.3672979424 595.163640
## a_p[101] -4.900414e-01 0.088200267 -0.631832941 -0.3492099894 642.175028
## a_p[102] 9.454112e-01 0.088291554 0.803236941 1.0876537695 733.300356
## a_p[103] -2.243871e-01 0.077649031 -0.349583291 -0.0995766413 517.619103
## a_p[104] 1.765252e-01 0.077294851 0.053567250 0.3010379136 513.614597
## a_p[105] -1.663306e-01 0.085098392 -0.303284642 -0.0293300743 635.517412
## a_p[106] 6.520432e-01 0.085265461 0.514618475 0.7886036106 656.456638
## a_p[107] -4.171658e-02 0.079668332 -0.170872531 0.0852860363 548.655409
## a_p[108] 3.475691e-01 0.079855510 0.219241630 0.4732513434 572.930368
## a_p[109] -4.723139e-01 0.082198959 -0.603079199 -0.3410997188 629.189280
## a_p[110] 5.870602e-01 0.085541271 0.449430784 0.7206306471 693.418476
## a_p[111] 2.826460e-02 0.077567001 -0.094821826 0.1512875139 555.010809
## a_p[112] 3.181572e-01 0.076005572 0.198606185 0.4405347323 518.632552
## a_p[113] -1.763703e-01 0.092706645 -0.323762161 -0.0294065128 730.351243
## a_p[114] 3.540672e-01 0.099597069 0.193623996 0.5127677688 1029.383633
## a_p[115] -1.047823e-01 0.084973619 -0.242127955 0.0320385371 635.910968
## a_p[116] 4.125307e-01 0.090272877 0.269862253 0.5579788746 688.603029
## a_p[117] -6.623670e-01 0.111370469 -0.841013349 -0.4861645799 1239.258585
## a_p[118] 6.424248e-01 0.105548046 0.474409845 0.8116154136 1070.819170
## a_p[119] 2.602418e-01 0.087173041 0.119952086 0.3989115263 700.749639
## a_p[120] 1.042025e-01 0.085004050 -0.031044687 0.2409142030 634.530463
## a_p[121] -6.194239e-01 0.086865330 -0.757729453 -0.4812322114 636.964654
## a_p[122] 7.941224e-01 0.085426417 0.654653943 0.9286152643 648.075753
## a_p[123] 9.827037e-02 0.075097098 -0.022105181 0.2179810515 495.291421
## a_p[124] 7.272337e-02 0.076544439 -0.049893753 0.1936052776 522.069243
## a_p[125] -6.839852e-01 0.085656819 -0.819763935 -0.5464055607 572.859792
## a_p[126] 2.723530e-01 0.082219735 0.140734121 0.4032146896 655.461147
## a_p[127] -9.486398e-02 0.085998905 -0.233551388 0.0398782146 640.826666
## a_p[128] 4.715803e-01 0.087895034 0.327991823 0.6102949940 658.406007
## a_p[129] -8.224602e-01 0.084541438 -0.958490865 -0.6857509409 637.500673
## a_p[130] 1.117357e-01 0.086953295 -0.027357625 0.2515388926 653.720549
## a_p[131] -5.833598e-01 0.081130960 -0.712237994 -0.4547716874 582.995545
## a_p[132] -5.812851e-02 0.082206174 -0.190363299 0.0718904447 607.838617
## a_p[133] -4.164499e-01 0.089430604 -0.561357994 -0.2748327750 678.883082
## a_p[134] 4.160277e-01 0.093943044 0.264130487 0.5620371873 837.545389
## a_p[135] -4.218405e-01 0.087531185 -0.561672257 -0.2823392904 673.991864
## a_p[136] 1.800763e-01 0.090810587 0.037631367 0.3266053754 747.828238
## a_p[137] -2.713279e-01 0.109432660 -0.445379363 -0.0982450994 1066.758194
## a_p[138] 2.134486e-01 0.107077849 0.044605948 0.3857802840 1094.269459
## a_p[139] 1.459068e-01 0.084170368 0.009155096 0.2772251259 647.375484
## a_p[140] 5.126600e-01 0.085217273 0.378391641 0.6505132736 628.171836
## a_p[141] 9.037453e-02 0.083805266 -0.043725188 0.2246320210 654.100384
## a_p[142] 5.683961e-01 0.084907680 0.429592780 0.7046741036 706.239511
## a_p[143] -6.378944e-01 0.089926727 -0.778272347 -0.4950744655 765.721886
## a_p[144] 4.841309e-01 0.090135706 0.336241982 0.6265383301 720.907035
## a_p[145] -3.465933e-01 0.076007588 -0.467615220 -0.2264726721 531.237665
## a_p[146] 4.087244e-01 0.077733743 0.285340089 0.5321998514 545.256846
## a_p[147] -1.865669e-01 0.077710735 -0.308775368 -0.0625082549 536.967502
## a_p[148] 6.105154e-01 0.078678462 0.484451530 0.7362238067 536.379317
## a_p[149] -5.786322e-01 0.086732197 -0.717264085 -0.4395621207 661.400075
## a_p[150] 2.196160e-01 0.089229865 0.076691986 0.3608176115 746.303524
## a_p[151] -4.901353e-01 0.083098191 -0.623629969 -0.3569364436 633.089974
## a_p[152] 2.639091e-01 0.082600004 0.130512401 0.3938419361 600.676804
## sigma_p 4.668339e-01 0.030159966 0.421217325 0.5167660104 1911.665441
## a_e[1] -2.801529e-01 0.589037929 -1.670895304 0.3404992717 9.665490
## a_e[2] -1.009167e-01 0.580107806 -1.436315160 0.5412634845 9.782106
## sigma_e 5.757597e-01 0.625918113 0.065349945 1.7948552551 18.955524
## Rhat4
## a[1] 1.4733802
## a[2] 1.4791439
## a[3] 1.4149720
## a[4] 1.4678240
## a[5] 1.4761941
## a[6] 1.4806667
## a[7] 1.4516641
## a[8] 1.4188132
## a[9] 1.3473303
## a[10] 1.3269113
## a[11] 1.4800143
## a[12] 1.4523073
## a[13] 1.4702317
## a[14] 1.4491563
## a[15] 1.4619101
## a[16] 1.4727604
## a[17] 1.4671604
## a[18] 1.4226637
## a[19] 1.4630612
## a[20] 1.4922670
## a[21] 1.4805310
## a[22] 1.4853045
## a[23] 1.4839526
## a[24] 1.4815683
## a[25] 1.4845013
## a[26] 1.3738747
## a[27] 1.4669065
## a[28] 1.4850894
## a[29] 1.4628300
## a[30] 1.4911520
## a[31] 1.4686651
## a[32] 1.3137104
## a[33] 1.4727070
## a[34] 1.4836171
## a[35] 1.4861480
## a[36] 1.4864779
## a[37] 1.4857476
## a[38] 1.4840719
## a[39] 1.4861498
## a[40] 1.3014676
## a[41] 1.4733905
## a[42] 1.4721313
## a[43] 1.4649909
## a[44] 1.4401055
## a[45] 1.4182009
## a[46] 1.4514634
## a[47] 1.4708674
## a[48] 1.4894198
## a[49] 1.4751748
## a[50] 1.4790626
## a[51] 1.4824463
## a[52] 1.4769797
## a[53] 1.4570593
## a[54] 1.4692639
## a[55] 1.4317861
## a[56] 1.4849125
## a[57] 1.4639023
## a[58] 1.4791947
## a[59] 1.4736027
## a[60] 1.4862448
## a[61] 1.4565846
## a[62] 1.4795644
## a[63] 1.4716340
## a[64] 1.4816923
## a[65] 1.4714628
## a[66] 1.4714689
## a[67] 1.3943269
## a[68] 1.4845142
## a[69] 1.4764710
## a[70] 1.4456797
## a[71] 1.4513937
## a[72] 1.4785935
## a[73] 1.2744579
## a[74] 1.4763304
## a[75] 1.4893487
## a[76] 1.4666284
## a[77] 1.4584097
## a[78] 1.4822623
## a[79] 1.4818458
## a[80] 1.4556516
## a[81] 1.2857980
## a[82] 1.4835998
## a[83] 1.4762023
## a[84] 1.3025348
## a[85] 1.4646839
## a[86] 1.4215515
## a[87] 1.4510053
## a[88] 1.4803834
## a[89] 1.3381096
## a[90] 1.4583408
## a[91] 1.4469897
## a[92] 1.4677303
## a[93] 1.4303728
## a[94] 1.4531388
## a[95] 1.4402833
## a[96] 1.3512004
## a[97] 1.4088893
## a[98] 1.4714291
## a[99] 1.4687817
## a[100] 1.4808328
## a[101] 1.4780813
## a[102] 1.2943222
## a[103] 1.4469471
## a[104] 1.3370302
## a[105] 1.4517725
## a[106] 1.4744465
## a[107] 1.4677836
## a[108] 1.3498276
## a[109] 1.4289882
## a[110] 1.3914092
## a[111] 1.4569238
## a[112] 1.4260715
## a[113] 1.4667620
## a[114] 1.4772614
## a[115] 1.4590148
## a[116] 1.4767291
## a[117] 1.4117642
## a[118] 1.4903166
## a[119] 1.4931080
## a[120] 1.3556411
## a[121] 1.3005692
## a[122] 1.4844310
## a[123] 1.4878303
## a[124] 1.4903705
## a[125] 1.4835385
## a[126] 1.3806046
## a[127] 1.4717887
## a[128] 1.4703498
## a[129] 1.4661577
## a[130] 1.4655967
## a[131] 1.4548289
## a[132] 1.4894664
## a[133] 1.4775246
## a[134] 1.2343641
## a[135] 1.3756202
## a[136] 1.3307023
## a[137] 1.4808525
## a[138] 1.4773103
## a[139] 1.4695399
## a[140] 1.4872936
## a[141] 1.4042882
## a[142] 1.4940822
## a[143] 1.4629184
## a[144] 1.4760334
## a[145] 1.4818633
## a[146] 1.4467850
## a[147] 1.4906559
## a[148] 1.4708577
## a[149] 1.4777820
## a[150] 1.4675224
## a[151] 1.3303998
## a[152] 1.4533108
## a[153] 1.4657696
## a[154] 1.4614836
## a[155] 1.4738636
## a[156] 1.4217822
## a[157] 1.4677404
## a[158] 1.2836709
## a[159] 1.4524421
## a[160] 1.4691289
## a[161] 1.4739713
## a[162] 1.4941525
## a[163] 1.4834866
## a[164] 1.4717423
## a[165] 1.4587146
## a[166] 1.4709262
## a[167] 1.4643443
## a[168] 1.4652222
## a[169] 1.4777149
## a[170] 1.4854418
## a[171] 1.4743377
## a[172] 1.4849991
## a[173] 1.4844282
## a[174] 1.4878919
## a[175] 1.2979190
## a[176] 1.4841117
## a[177] 1.4809408
## a[178] 1.4938522
## a[179] 1.4841097
## a[180] 1.4751315
## a_bar 1.5416596
## sigma 0.9998372
## b[1] 1.0016553
## b[2] 1.0014987
## b[3] 1.0007920
## b[4] 1.0013980
## b[5] 1.0006993
## b[6] 1.0010056
## b[7] 1.0002229
## b[8] 1.0001706
## b[9] 1.0000943
## b[10] 0.9998984
## b[11] 1.0011495
## b[12] 1.0009218
## b[13] 1.0003365
## b[14] 1.0011260
## b[15] 1.0006934
## b[16] 1.0015525
## b[17] 1.0009467
## b[18] 1.0001886
## b[19] 1.0003199
## b[20] 1.0017777
## b[21] 1.0006243
## b[22] 1.0012189
## b[23] 1.0006268
## b[24] 1.0007134
## b[25] 1.0014612
## b[26] 0.9996815
## b[27] 1.0007318
## b[28] 1.0009866
## b[29] 1.0023143
## b[30] 1.0010091
## b[31] 1.0013540
## b[32] 1.0005662
## b[33] 1.0012113
## b[34] 1.0002644
## b[35] 1.0004352
## b[36] 1.0003432
## b[37] 1.0006776
## b[38] 1.0004025
## b[39] 1.0011092
## b[40] 0.9999071
## b[41] 1.0003479
## b[42] 1.0007157
## b[43] 0.9999682
## b[44] 1.0011378
## b[45] 1.0001028
## b[46] 0.9999484
## b[47] 1.0012386
## b[48] 1.0019759
## b[49] 1.0002687
## b[50] 1.0013823
## b[51] 1.0001983
## b[52] 1.0017803
## b[53] 1.0007660
## b[54] 1.0005984
## b[55] 1.0013416
## b[56] 1.0008584
## b[57] 1.0001907
## b[58] 1.0005602
## b[59] 1.0011450
## b[60] 1.0009413
## b[61] 1.0000964
## b[62] 1.0000012
## b[63] 1.0014188
## b[64] 1.0013770
## b[65] 1.0018108
## b[66] 1.0000297
## b[67] 0.9999855
## b[68] 1.0007384
## b[69] 1.0022571
## b[70] 1.0002198
## b[71] 0.9998127
## b[72] 1.0004951
## b[73] 0.9999505
## b[74] 1.0006607
## b[75] 1.0009592
## b[76] 1.0000151
## b[77] 1.0007319
## b[78] 1.0007416
## b[79] 1.0003695
## b[80] 1.0001428
## b[81] 1.0000965
## b[82] 1.0009686
## b[83] 1.0015565
## b[84] 0.9996693
## b[85] 1.0011583
## b[86] 1.0007602
## b[87] 1.0000470
## b[88] 1.0008805
## b[89] 1.0001421
## b[90] 0.9997018
## b[91] 1.0002111
## b[92] 1.0005978
## b[93] 1.0000448
## b[94] 1.0010702
## b[95] 1.0016277
## b[96] 1.0000423
## b[97] 0.9998172
## b[98] 0.9999704
## b[99] 1.0006703
## b[100] 1.0006250
## b[101] 1.0009269
## b[102] 0.9998679
## b[103] 1.0000688
## b[104] 1.0000106
## b[105] 1.0001777
## b[106] 1.0008341
## b[107] 1.0005943
## b[108] 1.0003443
## b[109] 1.0000723
## b[110] 1.0000590
## b[111] 1.0005278
## b[112] 1.0006884
## b[113] 1.0010190
## b[114] 1.0001011
## b[115] 1.0000565
## b[116] 1.0007344
## b[117] 1.0011391
## b[118] 1.0006781
## b[119] 1.0007662
## b[120] 1.0001439
## b[121] 1.0001914
## b[122] 1.0001536
## b[123] 1.0010928
## b[124] 1.0011809
## b[125] 1.0013615
## b[126] 0.9998631
## b[127] 1.0012769
## b[128] 1.0007161
## b[129] 1.0013391
## b[130] 1.0010098
## b[131] 1.0015055
## b[132] 1.0008472
## b[133] 1.0005071
## b[134] 0.9999299
## b[135] 0.9997403
## b[136] 1.0006123
## b[137] 1.0000252
## b[138] 1.0019905
## b[139] 1.0008484
## b[140] 1.0006865
## b[141] 0.9998473
## b[142] 1.0019976
## b[143] 1.0004356
## b[144] 1.0004950
## b[145] 1.0004514
## b[146] 1.0007031
## b[147] 1.0019559
## b[148] 1.0008251
## b[149] 1.0018526
## b[150] 1.0000955
## b[151] 1.0002668
## b[152] 1.0022255
## b[153] 1.0011262
## b[154] 1.0004571
## b[155] 1.0011580
## b[156] 0.9998506
## b[157] 1.0008173
## b[158] 0.9999741
## b[159] 1.0003451
## b[160] 1.0013687
## b[161] 1.0005315
## b[162] 1.0014274
## b[163] 1.0011507
## b[164] 1.0004534
## b[165] 1.0003840
## b[166] 1.0005784
## b[167] 1.0010123
## b[168] 1.0005690
## b[169] 1.0009947
## b[170] 1.0010041
## b[171] 1.0018463
## b[172] 1.0010548
## b[173] 1.0008887
## b[174] 1.0011137
## b[175] 0.9999662
## b[176] 1.0014460
## b[177] 1.0005175
## b[178] 1.0032236
## b[179] 1.0021937
## b[180] 1.0019599
## sigma_b 1.0025139
## a_p[1] 1.0068102
## a_p[2] 1.0082865
## a_p[3] 1.0034357
## a_p[4] 1.0020533
## a_p[5] 1.0069894
## a_p[6] 1.0059895
## a_p[7] 1.0032608
## a_p[8] 1.0022494
## a_p[9] 1.0048592
## a_p[10] 1.0066660
## a_p[11] 1.0021896
## a_p[12] 1.0033966
## a_p[13] 1.0072655
## a_p[14] 1.0062842
## a_p[15] 1.0042525
## a_p[16] 1.0030230
## a_p[17] 1.0067441
## a_p[18] 1.0044026
## a_p[19] 1.0024708
## a_p[20] 1.0025665
## a_p[21] 1.0075902
## a_p[22] 1.0054485
## a_p[23] 1.0029078
## a_p[24] 1.0031417
## a_p[25] 1.0056274
## a_p[26] 1.0052357
## a_p[27] 1.0031104
## a_p[28] 1.0028090
## a_p[29] 1.0068185
## a_p[30] 1.0065274
## a_p[31] 1.0024372
## a_p[32] 1.0038179
## a_p[33] 1.0070109
## a_p[34] 1.0067924
## a_p[35] 1.0054802
## a_p[36] 1.0024385
## a_p[37] 1.0063282
## a_p[38] 1.0055135
## a_p[39] 1.0022363
## a_p[40] 1.0043828
## a_p[41] 1.0044811
## a_p[42] 1.0034399
## a_p[43] 1.0031880
## a_p[44] 1.0030435
## a_p[45] 1.0065196
## a_p[46] 1.0049619
## a_p[47] 1.0024998
## a_p[48] 1.0028124
## a_p[49] 1.0080172
## a_p[50] 1.0038528
## a_p[51] 1.0030235
## a_p[52] 1.0028776
## a_p[53] 1.0072643
## a_p[54] 1.0040702
## a_p[55] 1.0029300
## a_p[56] 1.0019065
## a_p[57] 1.0053690
## a_p[58] 1.0058342
## a_p[59] 1.0036659
## a_p[60] 1.0028456
## a_p[61] 1.0074241
## a_p[62] 1.0068748
## a_p[63] 1.0030981
## a_p[64] 1.0035711
## a_p[65] 1.0055614
## a_p[66] 1.0039864
## a_p[67] 1.0028741
## a_p[68] 1.0020167
## a_p[69] 1.0045710
## a_p[70] 1.0047898
## a_p[71] 1.0023735
## a_p[72] 1.0030363
## a_p[73] 1.0047756
## a_p[74] 1.0045313
## a_p[75] 1.0029035
## a_p[76] 1.0038446
## a_p[77] 1.0071688
## a_p[78] 1.0047668
## a_p[79] 1.0024093
## a_p[80] 1.0030576
## a_p[81] 1.0054824
## a_p[82] 1.0052763
## a_p[83] 1.0032984
## a_p[84] 1.0016913
## a_p[85] 1.0066262
## a_p[86] 1.0047193
## a_p[87] 1.0031453
## a_p[88] 1.0034370
## a_p[89] 1.0048811
## a_p[90] 1.0055850
## a_p[91] 1.0027391
## a_p[92] 1.0030855
## a_p[93] 1.0054722
## a_p[94] 1.0061083
## a_p[95] 1.0039837
## a_p[96] 1.0019496
## a_p[97] 1.0056623
## a_p[98] 1.0031466
## a_p[99] 1.0035212
## a_p[100] 1.0028011
## a_p[101] 1.0060967
## a_p[102] 1.0054274
## a_p[103] 1.0035556
## a_p[104] 1.0030073
## a_p[105] 1.0062891
## a_p[106] 1.0064919
## a_p[107] 1.0022906
## a_p[108] 1.0031472
## a_p[109] 1.0063884
## a_p[110] 1.0045733
## a_p[111] 1.0030820
## a_p[112] 1.0030314
## a_p[113] 1.0061807
## a_p[114] 1.0028557
## a_p[115] 1.0027420
## a_p[116] 1.0010612
## a_p[117] 1.0025540
## a_p[118] 1.0035861
## a_p[119] 1.0022260
## a_p[120] 1.0031592
## a_p[121] 1.0057108
## a_p[122] 1.0071156
## a_p[123] 1.0040668
## a_p[124] 1.0031357
## a_p[125] 1.0065336
## a_p[126] 1.0056696
## a_p[127] 1.0016340
## a_p[128] 1.0026813
## a_p[129] 1.0050874
## a_p[130] 1.0050531
## a_p[131] 1.0035118
## a_p[132] 1.0017857
## a_p[133] 1.0046294
## a_p[134] 1.0050974
## a_p[135] 1.0031585
## a_p[136] 1.0012911
## a_p[137] 1.0036763
## a_p[138] 1.0039608
## a_p[139] 1.0024784
## a_p[140] 1.0029773
## a_p[141] 1.0051588
## a_p[142] 1.0061404
## a_p[143] 1.0025057
## a_p[144] 1.0021032
## a_p[145] 1.0085206
## a_p[146] 1.0068725
## a_p[147] 1.0033149
## a_p[148] 1.0041783
## a_p[149] 1.0059703
## a_p[150] 1.0056348
## a_p[151] 1.0028144
## a_p[152] 1.0026432
## sigma_p 1.0023171
## a_e[1] 1.5482598
## a_e[2] 1.5360436
## sigma_e 1.2171818#0329 stop here 14.2 in book As 2, but use a multivariate normal model for the line slope and intercept effects
# multivariate normal model for line slope and intercept, no plate or experiment
m3 <- ulam(
alist(
L ~ dnorm(mu,sigma),
mu <- a_line[A]+b_line[A]*S,
# partial pooling & adaptative prior
c(a_line,b_line)[A] ~ multi_normal(c(a,b),Rho,sigma_A),
a ~ dnorm(0,2),
b ~ dnorm(0,1),
sigma_A ~ dexp(1),
Rho ~ lkj_corr(2),
sigma ~ dexp(1)
),data = d, chains = 4, cores = 4, log_lik = TRUE, control = list(max_treedepth=15)
)## Warning: The largest R-hat is NA, indicating chains have not mixed.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#r-hat## Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#bulk-ess## Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#tail-ess#pairs(m3)trankplot(m3)## Waiting to draw page 2 of 25
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precis(m3,depth = 3)## mean sd 5.5% 94.5% n_eff
## b_line[1] 0.638974669 0.108841014 0.459540222 0.813649965 4222.162
## b_line[2] 0.801883687 0.101582340 0.642158728 0.969647996 4436.610
## b_line[3] 1.641028136 0.183788835 1.349096837 1.938034454 4623.060
## b_line[4] 0.805583885 0.130755544 0.603917601 1.011219902 4662.189
## b_line[5] 0.604403732 0.121320428 0.407735622 0.795875029 5075.572
## b_line[6] 0.223643254 0.108895121 0.054224613 0.393498621 4623.839
## b_line[7] 1.064266303 0.140884938 0.833556218 1.293784620 5438.211
## b_line[8] 0.997223191 0.170873976 0.728478626 1.266440553 4690.516
## b_line[9] 1.222351453 0.291547023 0.743584211 1.677443652 4132.603
## b_line[10] 0.727714010 0.282945337 0.271767481 1.158073817 4334.110
## b_line[11] 0.812351231 0.115655033 0.624425413 0.997066889 4617.953
## b_line[12] 0.627951599 0.133656350 0.415021592 0.837167547 4555.309
## b_line[13] 0.860871799 0.094515249 0.712915434 1.006927278 3172.554
## b_line[14] 0.770505925 0.120516867 0.575883396 0.963759439 3533.929
## b_line[15] 0.487771890 0.142568759 0.258196451 0.712990401 3407.103
## b_line[16] 0.978502499 0.113627295 0.805273870 1.160956488 3943.069
## b_line[17] 0.923003864 0.120888955 0.727784695 1.116827286 3590.690
## b_line[18] 1.220270575 0.182505825 0.926628154 1.502501824 3838.569
## b_line[19] 0.782702031 0.127739134 0.578370328 0.985816332 3801.052
## b_line[20] 0.891693677 0.094383701 0.744796886 1.039927244 4553.177
## b_line[21] 1.234900615 0.104144683 1.067920463 1.398783779 4335.354
## b_line[22] 1.467606141 0.097618201 1.311440517 1.621387072 4399.296
## b_line[23] 1.370805062 0.094399261 1.222838880 1.524456791 3338.451
## b_line[24] 0.633988754 0.109274129 0.459984672 0.803452887 4176.764
## b_line[25] 0.785146547 0.103272174 0.623660824 0.953704755 6473.107
## b_line[26] 1.071418740 0.225469732 0.709538404 1.439968135 4629.802
## b_line[27] 1.048120064 0.116362215 0.866288177 1.232269937 2918.034
## b_line[28] 1.576171567 0.097694775 1.422372284 1.724610839 4775.838
## b_line[29] 1.070428617 0.139994543 0.845596162 1.289680067 3616.727
## b_line[30] 0.097560967 0.092977436 -0.052056709 0.242315321 4827.515
## b_line[31] 1.288450735 0.114574240 1.105867027 1.473868224 3511.707
## b_line[32] 1.048240339 0.294554122 0.559955780 1.508416982 4315.807
## b_line[33] 1.354302651 0.107688706 1.181048222 1.530342448 4297.675
## b_line[34] 0.503993295 0.100623300 0.341332677 0.658964956 4697.007
## b_line[35] 0.640552101 0.103922252 0.471372799 0.803457439 3185.558
## b_line[36] 0.749120193 0.099448217 0.590098677 0.905510331 4487.468
## b_line[37] 0.820237603 0.100845626 0.660334890 0.976758483 4306.946
## b_line[38] 0.933277884 0.100319079 0.773383131 1.090209549 4187.462
## b_line[39] 0.921710145 0.094848880 0.774297503 1.072848108 4436.314
## b_line[40] 0.537780141 0.333776801 0.011469084 1.074402838 4589.591
## b_line[41] -0.288698759 0.112957327 -0.468906234 -0.104917385 3086.256
## b_line[42] 1.678685313 0.105634168 1.509733724 1.847933212 4581.032
## b_line[43] 0.523665103 0.125785655 0.321862270 0.730772381 4858.856
## b_line[44] 1.130262532 0.162079409 0.860611515 1.389274073 4243.727
## b_line[45] 0.450884251 0.176022633 0.165826823 0.722008679 5388.696
## b_line[46] 0.501353701 0.122865861 0.304796075 0.697998401 3972.876
## b_line[47] 0.469436401 0.117971726 0.287186232 0.656329607 4074.603
## b_line[48] 0.797851191 0.096355259 0.643142454 0.945859882 4094.279
## b_line[49] 0.655263131 0.108624195 0.478180532 0.828281676 3826.635
## b_line[50] 0.366285903 0.096514453 0.211235042 0.523151068 3643.123
## b_line[51] 0.516855700 0.103209265 0.353712636 0.679637073 3759.311
## b_line[52] 0.649799090 0.108519570 0.479181580 0.817867440 4753.277
## b_line[53] 0.047154504 0.125704818 -0.152369129 0.244964078 3927.100
## b_line[54] 0.986138982 0.109720438 0.807503937 1.161446786 3929.731
## b_line[55] 0.201684393 0.163029813 -0.056281889 0.472276247 4299.037
## b_line[56] 1.115246019 0.098126156 0.957188609 1.274300842 3991.174
## b_line[57] 0.791139185 0.136101528 0.580704379 1.003844222 3725.943
## b_line[58] 0.849399454 0.111519606 0.674562070 1.029672838 3975.662
## b_line[59] 1.039116390 0.112828940 0.860017534 1.219586683 5060.832
## b_line[60] 0.379784282 0.094082217 0.227965260 0.530010884 4694.296
## b_line[61] 1.435963247 0.117150481 1.253795751 1.618683422 3846.087
## b_line[62] 0.789147209 0.104426028 0.623862444 0.955687651 4769.438
## b_line[63] 0.470854529 0.121600948 0.271322006 0.659330861 3659.188
## b_line[64] 0.974239027 0.110551783 0.795141916 1.150083404 5538.038
## b_line[65] 0.787878246 0.111381829 0.606715150 0.963782433 3487.308
## b_line[66] 1.036853975 0.112962630 0.857792542 1.217637543 4288.973
## b_line[67] 0.944155345 0.234431000 0.574214516 1.312221829 3796.640
## b_line[68] 0.300471127 0.099273405 0.141683186 0.457493618 4459.820
## b_line[69] 0.882727316 0.104291826 0.714845402 1.049466722 4511.139
## b_line[70] 1.578066008 0.150914089 1.329995675 1.809525536 4914.917
## b_line[71] 0.925743843 0.137382741 0.708138555 1.146003233 3969.326
## b_line[72] 0.112050625 0.097944158 -0.042637111 0.267645001 3607.912
## b_line[73] 1.012335330 0.367247924 0.425496348 1.594335714 3983.217
## b_line[74] 0.581748920 0.102709346 0.418699573 0.745367277 3665.054
## b_line[75] 0.551531344 0.093846443 0.397614356 0.695941133 3804.336
## b_line[76] 0.549883335 0.113491694 0.366667680 0.724270187 3868.718
## b_line[77] 0.831574764 0.130697499 0.623891088 1.038440575 6339.927
## b_line[78] 0.210579218 0.099737257 0.051725669 0.365911786 4997.479
## b_line[79] 0.331516259 0.108495378 0.154387209 0.508663012 5139.999
## b_line[80] 0.454603574 0.135457495 0.232687435 0.672087211 3891.235
## b_line[81] 1.068212724 0.371702444 0.477631351 1.668318055 4500.948
## b_line[82] 0.436969976 0.103345094 0.275765871 0.602591520 3629.785
## b_line[83] 0.886976452 0.101153648 0.726837716 1.047089538 3389.370
## b_line[84] 0.674968741 0.332804031 0.132171266 1.192200950 4128.442
## b_line[85] 0.554676125 0.114969735 0.374384048 0.744087829 4608.743
## b_line[86] 0.812917840 0.179673264 0.527643065 1.095409382 4702.948
## b_line[87] 1.217190618 0.138033928 1.005215515 1.433162914 3772.289
## b_line[88] 0.184181776 0.104180757 0.020644757 0.351967453 3923.430
## b_line[89] 1.184038258 0.254073807 0.774222592 1.588929301 3375.380
## b_line[90] 0.295238073 0.120529271 0.100234498 0.486186075 4265.809
## b_line[91] 0.406705890 0.145421359 0.170278262 0.640139396 4147.760
## b_line[92] 0.563488838 0.108571439 0.387179107 0.733341952 4151.042
## b_line[93] -0.105565405 0.169494797 -0.376781816 0.175060797 4417.221
## b_line[94] 0.407172235 0.139740935 0.193013148 0.627443864 4703.627
## b_line[95] 0.232950215 0.143927550 0.007161444 0.463715223 4279.126
## b_line[96] 1.171544384 0.305912339 0.693300398 1.672182021 4251.370
## b_line[97] 0.817612905 0.177473771 0.533182128 1.103541352 3758.096
## b_line[98] 1.478295619 0.106568358 1.308152438 1.650179901 4413.682
## b_line[99] 1.355650074 0.115088268 1.172268442 1.539493352 4811.503
## b_line[100] 0.659371750 0.111906109 0.480143300 0.834131998 4184.189
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## a_line[132] -0.937123528 0.152107808 -1.183014006 -0.701503164 4515.783
## a_line[133] -1.475929018 0.164516800 -1.743303105 -1.210807810 3461.715
## a_line[134] -1.512003994 0.938805578 -3.010185081 0.005330979 3541.041
## a_line[135] -1.782628289 0.368950633 -2.381947915 -1.207708018 4180.477
## a_line[136] -2.288140044 0.432319931 -3.004006730 -1.603638876 3548.958
## a_line[137] -2.118246573 0.164632950 -2.379398926 -1.849360080 5130.919
## a_line[138] -2.564311989 0.170192970 -2.836608768 -2.292950041 4190.590
## a_line[139] -1.261395911 0.179588377 -1.544109757 -0.971998643 4313.145
## a_line[140] -1.207481654 0.160968512 -1.458880226 -0.947141812 4452.209
## a_line[141] -0.815781066 0.278496469 -1.254559193 -0.369086009 4230.517
## a_line[142] -0.042256639 0.158173971 -0.288083532 0.209569544 4319.433
## a_line[143] -1.009965273 0.196289145 -1.325101960 -0.693784194 4030.221
## a_line[144] 0.731471806 0.193059787 0.438334536 1.041585952 3520.451
## a_line[145] -0.854127260 0.181530688 -1.142053219 -0.555136152 4292.513
## a_line[146] -0.671845880 0.212080547 -1.009991945 -0.330803875 3809.361
## a_line[147] -1.218908006 0.168351917 -1.488037299 -0.946288667 4233.896
## a_line[148] -1.685079412 0.171259222 -1.956862672 -1.403873090 3524.583
## a_line[149] -2.138316313 0.167509927 -2.408175785 -1.873475601 4251.148
## a_line[150] -2.194548589 0.193581653 -2.497094116 -1.875104035 4107.136
## a_line[151] -1.098544614 0.494057416 -1.885728323 -0.328797091 4021.832
## a_line[152] -2.117627863 0.214514812 -2.470557771 -1.778285163 4009.555
## a_line[153] -2.336673221 0.186579459 -2.635633134 -2.045359674 3444.800
## a_line[154] -1.037945027 0.201863007 -1.354941715 -0.714041988 4419.817
## a_line[155] -1.651250138 0.179908405 -1.932999291 -1.373276672 5384.250
## a_line[156] 0.116184609 0.272825075 -0.323325123 0.542215720 4737.387
## a_line[157] -0.585704773 0.186485386 -0.877183636 -0.284649416 4536.289
## a_line[158] -1.816837753 0.696183775 -2.926407147 -0.680211915 4233.460
## a_line[159] -0.537147689 0.210114441 -0.874113924 -0.198899465 3902.181
## a_line[160] -1.254568642 0.205699042 -1.585267318 -0.929819313 2957.189
## a_line[161] -2.015725629 0.169423883 -2.282282048 -1.748171431 4021.877
## a_line[162] -0.732498110 0.158721363 -0.988755475 -0.476561286 3605.468
## a_line[163] -0.441609507 0.159552615 -0.691048256 -0.194558431 3889.294
## a_line[164] -0.630473672 0.201310649 -0.950030911 -0.301393298 4100.559
## a_line[165] -2.418549461 0.207465776 -2.746920850 -2.075531187 4029.388
## a_line[166] -1.772311685 0.155299804 -2.023163563 -1.524960236 4968.299
## a_line[167] -1.406587044 0.207896976 -1.755146816 -1.068780347 5467.243
## a_line[168] -0.138868290 0.189401050 -0.443710410 0.166595271 4338.551
## a_line[169] -2.039214623 0.177034467 -2.324934647 -1.756283911 5894.418
## a_line[170] -1.667358051 0.179220041 -1.955766722 -1.386083254 3836.182
## a_line[171] -1.808192062 0.172783586 -2.084280862 -1.538838277 4273.713
## a_line[172] -0.358778252 0.159244135 -0.608886971 -0.110558711 3852.811
## a_line[173] 0.853702295 0.160053297 0.600560158 1.118809469 4379.937
## a_line[174] -1.732585521 0.162076031 -1.993172897 -1.479782533 4862.289
## a_line[175] -2.613376384 0.625902790 -3.625200955 -1.633600961 5229.468
## a_line[176] -1.699021392 0.172187650 -1.970114193 -1.416180690 3897.259
## a_line[177] -0.427061194 0.153927952 -0.669497884 -0.177901963 4894.777
## a_line[178] -2.596313622 0.154684651 -2.845050199 -2.338718113 4381.359
## a_line[179] -3.367054599 0.156442742 -3.616276790 -3.122400389 5508.963
## a_line[180] -2.285676680 0.178643158 -2.572126499 -1.999988251 3976.757
## a -1.297248421 0.080543477 -1.426044518 -1.167404388 2581.865
## b 0.809118450 0.033335210 0.757876058 0.862941160 2510.911
## sigma_A[1] 1.062310472 0.062219987 0.967462399 1.167205359 2764.663
## sigma_A[2] 0.415934589 0.026416171 0.376479815 0.459262468 2323.042
## Rho[1,1] 1.000000000 0.000000000 1.000000000 1.000000000 NaN
## Rho[1,2] -0.841993925 0.025168943 -0.880765386 -0.800681728 2477.029
## Rho[2,1] -0.841993925 0.025168943 -0.880765386 -0.800681728 2477.029
## Rho[2,2] 1.000000000 0.000000000 1.000000000 1.000000000 NaN
## sigma 0.635981940 0.003246835 0.630774493 0.641265996 2183.117
## Rhat4
## b_line[1] 0.9985517
## b_line[2] 0.9992162
## b_line[3] 0.9985289
## b_line[4] 0.9982262
## b_line[5] 0.9984858
## b_line[6] 0.9991512
## b_line[7] 0.9986350
## b_line[8] 0.9987337
## b_line[9] 0.9995756
## b_line[10] 0.9982798
## b_line[11] 0.9988591
## b_line[12] 0.9985005
## b_line[13] 0.9993128
## b_line[14] 0.9986859
## b_line[15] 0.9996977
## b_line[16] 0.9992503
## b_line[17] 0.9993551
## b_line[18] 0.9988285
## b_line[19] 0.9984828
## b_line[20] 0.9985913
## b_line[21] 0.9989333
## b_line[22] 0.9990138
## b_line[23] 0.9996877
## b_line[24] 0.9985094
## b_line[25] 0.9984260
## b_line[26] 0.9986076
## b_line[27] 0.9992295
## b_line[28] 0.9988957
## b_line[29] 0.9992619
## b_line[30] 1.0000010
## b_line[31] 0.9989426
## b_line[32] 0.9993199
## b_line[33] 0.9994913
## b_line[34] 0.9988565
## b_line[35] 0.9984966
## b_line[36] 0.9990600
## b_line[37] 0.9987710
## b_line[38] 1.0005625
## b_line[39] 0.9982743
## b_line[40] 0.9985857
## b_line[41] 0.9991234
## b_line[42] 0.9984980
## b_line[43] 0.9988756
## b_line[44] 1.0002794
## b_line[45] 0.9983444
## b_line[46] 0.9988600
## b_line[47] 0.9989884
## b_line[48] 0.9982083
## b_line[49] 0.9991247
## b_line[50] 0.9993670
## b_line[51] 0.9990779
## b_line[52] 0.9985253
## b_line[53] 0.9989602
## b_line[54] 0.9986625
## b_line[55] 0.9987479
## b_line[56] 0.9986030
## b_line[57] 0.9994211
## b_line[58] 0.9984502
## b_line[59] 0.9994164
## b_line[60] 0.9985567
## b_line[61] 0.9993588
## b_line[62] 0.9986876
## b_line[63] 0.9988091
## b_line[64] 0.9986623
## b_line[65] 1.0001638
## b_line[66] 0.9988727
## b_line[67] 1.0007884
## b_line[68] 0.9986199
## b_line[69] 0.9985847
## b_line[70] 0.9987231
## b_line[71] 0.9992088
## b_line[72] 0.9988362
## b_line[73] 0.9986689
## b_line[74] 0.9991185
## b_line[75] 0.9987291
## b_line[76] 0.9988203
## b_line[77] 0.9989601
## b_line[78] 0.9982522
## b_line[79] 0.9990160
## b_line[80] 0.9984961
## b_line[81] 0.9990231
## b_line[82] 0.9984074
## b_line[83] 0.9996189
## b_line[84] 0.9990484
## b_line[85] 0.9985163
## b_line[86] 0.9987393
## b_line[87] 0.9991959
## b_line[88] 0.9985191
## b_line[89] 0.9992135
## b_line[90] 0.9989935
## b_line[91] 0.9989552
## b_line[92] 0.9986900
## b_line[93] 0.9993931
## b_line[94] 0.9987176
## b_line[95] 0.9982105
## b_line[96] 0.9986733
## b_line[97] 0.9992202
## b_line[98] 0.9989105
## b_line[99] 0.9982971
## b_line[100] 0.9985429
## b_line[101] 0.9986323
## b_line[102] 0.9982634
## b_line[103] 0.9985104
## b_line[104] 0.9992634
## b_line[105] 0.9986752
## b_line[106] 0.9995645
## b_line[107] 0.9991729
## b_line[108] 0.9985859
## b_line[109] 0.9990266
## b_line[110] 0.9996668
## b_line[111] 0.9993941
## b_line[112] 0.9993316
## b_line[113] 0.9992931
## b_line[114] 0.9992142
## b_line[115] 0.9984582
## b_line[116] 0.9989093
## b_line[117] 0.9984536
## b_line[118] 0.9988392
## b_line[119] 0.9983349
## b_line[120] 1.0000622
## b_line[121] 0.9985885
## b_line[122] 0.9991551
## b_line[123] 0.9989162
## b_line[124] 0.9991559
## b_line[125] 1.0007562
## b_line[126] 0.9988071
## b_line[127] 0.9990261
## b_line[128] 0.9990907
## b_line[129] 0.9984061
## b_line[130] 0.9986987
## b_line[131] 0.9987268
## b_line[132] 0.9987387
## b_line[133] 0.9990142
## b_line[134] 0.9990423
## b_line[135] 0.9992966
## b_line[136] 1.0000420
## b_line[137] 0.9986649
## b_line[138] 0.9985339
## b_line[139] 0.9983610
## b_line[140] 0.9996824
## b_line[141] 0.9992657
## b_line[142] 0.9987326
## b_line[143] 0.9996217
## b_line[144] 0.9986450
## b_line[145] 0.9993538
## b_line[146] 0.9994969
## b_line[147] 0.9985479
## b_line[148] 0.9990937
## b_line[149] 0.9984374
## b_line[150] 0.9991802
## b_line[151] 0.9989871
## b_line[152] 0.9991763
## b_line[153] 0.9984783
## b_line[154] 0.9985403
## b_line[155] 0.9988730
## b_line[156] 0.9992263
## b_line[157] 0.9988675
## b_line[158] 1.0000080
## b_line[159] 0.9992138
## b_line[160] 0.9985316
## b_line[161] 0.9987516
## b_line[162] 0.9992308
## b_line[163] 0.9982377
## b_line[164] 0.9993017
## b_line[165] 1.0000160
## b_line[166] 0.9991611
## b_line[167] 0.9982266
## b_line[168] 0.9982087
## b_line[169] 0.9990634
## b_line[170] 0.9995873
## b_line[171] 0.9994952
## b_line[172] 0.9993538
## b_line[173] 0.9991187
## b_line[174] 0.9986996
## b_line[175] 0.9986021
## b_line[176] 0.9997510
## b_line[177] 0.9987712
## b_line[178] 0.9991255
## b_line[179] 0.9988265
## b_line[180] 1.0002839
## a_line[1] 0.9988003
## a_line[2] 0.9995785
## a_line[3] 0.9989531
## a_line[4] 0.9983215
## a_line[5] 0.9982929
## a_line[6] 0.9992652
## a_line[7] 0.9983052
## a_line[8] 0.9989303
## a_line[9] 1.0001174
## a_line[10] 0.9985551
## a_line[11] 0.9991246
## a_line[12] 0.9987567
## a_line[13] 0.9991979
## a_line[14] 0.9985476
## a_line[15] 1.0003016
## a_line[16] 0.9994619
## a_line[17] 0.9989259
## a_line[18] 0.9988010
## a_line[19] 0.9986224
## a_line[20] 0.9985731
## a_line[21] 0.9984397
## a_line[22] 0.9989809
## a_line[23] 1.0003901
## a_line[24] 0.9986072
## a_line[25] 0.9986287
## a_line[26] 0.9983458
## a_line[27] 0.9990010
## a_line[28] 0.9987145
## a_line[29] 0.9985879
## a_line[30] 1.0002682
## a_line[31] 0.9995588
## a_line[32] 0.9986807
## a_line[33] 0.9998113
## a_line[34] 0.9989245
## a_line[35] 0.9985008
## a_line[36] 0.9993352
## a_line[37] 0.9985396
## a_line[38] 1.0003935
## a_line[39] 0.9982661
## a_line[40] 0.9998747
## a_line[41] 0.9990108
## a_line[42] 0.9983487
## a_line[43] 0.9989514
## a_line[44] 0.9996802
## a_line[45] 0.9986429
## a_line[46] 0.9990507
## a_line[47] 0.9983839
## a_line[48] 0.9988588
## a_line[49] 0.9993308
## a_line[50] 0.9993316
## a_line[51] 0.9991651
## a_line[52] 0.9982903
## a_line[53] 0.9991825
## a_line[54] 0.9983579
## a_line[55] 0.9987706
## a_line[56] 0.9985128
## a_line[57] 0.9991934
## a_line[58] 0.9984466
## a_line[59] 0.9983626
## a_line[60] 0.9990963
## a_line[61] 0.9993298
## a_line[62] 0.9984059
## a_line[63] 0.9989036
## a_line[64] 0.9986137
## a_line[65] 0.9996766
## a_line[66] 0.9991551
## a_line[67] 1.0003557
## a_line[68] 0.9983190
## a_line[69] 0.9983472
## a_line[70] 0.9982914
## a_line[71] 0.9988956
## a_line[72] 0.9990277
## a_line[73] 0.9983823
## a_line[74] 0.9985238
## a_line[75] 0.9983804
## a_line[76] 0.9988756
## a_line[77] 0.9985460
## a_line[78] 0.9984493
## a_line[79] 0.9987323
## a_line[80] 0.9988997
## a_line[81] 0.9989194
## a_line[82] 0.9984685
## a_line[83] 0.9998403
## a_line[84] 0.9995396
## a_line[85] 0.9986495
## a_line[86] 0.9985425
## a_line[87] 0.9991854
## a_line[88] 0.9988033
## a_line[89] 0.9991900
## a_line[90] 0.9985722
## a_line[91] 0.9986695
## a_line[92] 0.9989990
## a_line[93] 0.9992834
## a_line[94] 0.9986412
## a_line[95] 0.9983964
## a_line[96] 0.9990715
## a_line[97] 0.9993158
## a_line[98] 0.9989111
## a_line[99] 0.9981285
## a_line[100] 0.9986283
## a_line[101] 0.9984737
## a_line[102] 0.9984684
## a_line[103] 0.9985834
## a_line[104] 0.9988325
## a_line[105] 0.9988311
## a_line[106] 0.9991823
## a_line[107] 0.9988092
## a_line[108] 0.9984870
## a_line[109] 0.9990300
## a_line[110] 1.0000558
## a_line[111] 0.9998155
## a_line[112] 0.9987037
## a_line[113] 0.9995121
## a_line[114] 0.9987199
## a_line[115] 0.9986419
## a_line[116] 0.9991000
## a_line[117] 0.9984070
## a_line[118] 0.9989330
## a_line[119] 0.9983683
## a_line[120] 0.9996689
## a_line[121] 0.9986452
## a_line[122] 0.9991125
## a_line[123] 0.9986719
## a_line[124] 0.9992880
## a_line[125] 1.0009748
## a_line[126] 0.9992312
## a_line[127] 0.9995824
## a_line[128] 0.9990345
## a_line[129] 0.9985041
## a_line[130] 0.9991121
## a_line[131] 0.9989106
## a_line[132] 0.9985677
## a_line[133] 0.9986276
## a_line[134] 0.9998141
## a_line[135] 0.9995338
## a_line[136] 0.9997074
## a_line[137] 0.9994122
## a_line[138] 0.9985694
## a_line[139] 0.9988530
## a_line[140] 0.9991761
## a_line[141] 0.9990482
## a_line[142] 0.9983193
## a_line[143] 0.9992270
## a_line[144] 0.9984082
## a_line[145] 0.9994470
## a_line[146] 0.9995509
## a_line[147] 0.9985774
## a_line[148] 0.9989431
## a_line[149] 0.9984253
## a_line[150] 0.9990343
## a_line[151] 0.9983276
## a_line[152] 0.9988264
## a_line[153] 0.9985182
## a_line[154] 0.9986612
## a_line[155] 0.9987899
## a_line[156] 0.9993339
## a_line[157] 0.9988222
## a_line[158] 0.9994211
## a_line[159] 0.9985016
## a_line[160] 0.9986226
## a_line[161] 0.9984806
## a_line[162] 0.9994347
## a_line[163] 0.9983132
## a_line[164] 0.9994602
## a_line[165] 0.9993160
## a_line[166] 0.9994629
## a_line[167] 0.9984559
## a_line[168] 0.9984021
## a_line[169] 0.9989568
## a_line[170] 0.9997410
## a_line[171] 0.9993536
## a_line[172] 0.9992528
## a_line[173] 0.9995677
## a_line[174] 0.9987110
## a_line[175] 0.9988411
## a_line[176] 0.9992435
## a_line[177] 0.9992698
## a_line[178] 0.9990930
## a_line[179] 0.9984845
## a_line[180] 1.0003465
## a 1.0004623
## b 1.0015432
## sigma_A[1] 0.9993927
## sigma_A[2] 1.0007123
## Rho[1,1] NaN
## Rho[1,2] 0.9982307
## Rho[2,1] 0.9982307
## Rho[2,2] NaN
## sigma 0.9999312
the standardized mean length is around 0.32 compared to 0.4 in the model with no pooling (m1) high red:far-red light ratio a negative influence on hypocotyl length on all accesions in general beta is around -0.81 89%[-0.86 to -0.76] compared to -0.8 89%[-0.82 to -0.78] in the model with no pooling (m1)
m3_par_light <- as.data.frame(precis(m3,depth = 3)$mean[1:180])
hist(m3_par_light$`precis(m3, depth = 3)$mean[1:180]`,xlab = "influence of high red:far-red light ratio on hypocotyl length of Arapidopsis accesions")
In general, high red:far red light ratio has a negative effect on hypocotyl length, only positive on a few accessions
m3_par_line <- as.data.frame(precis(m3,depth = 3)$mean[181:360])
hist(m3_par_line$`precis(m3, depth = 3)$mean[181:360]`,xlab = "influence of genotype on hypocotyl length of Arapidopsis accesions ")
# multivariate normal model for line slope and intercept, with plate and experiment
m4 <- ulam(
alist(
L ~ dnorm(mu,sigma),
mu <- a_line[A]+b_line[A]*S+a_plate[P]+a_exp[E],
# partial pooling & adaptative prior
c(a_line,b_line)[A] ~ multi_normal(c(a,b),Rho,sigma_A),
a ~ dnorm(0,2),
b ~ dnorm(0,1),
sigma_A ~ dexp(1),
Rho ~ lkj_corr(2),
sigma ~ dexp(1)，
a_plate[P] ~ dnorm(a_bar,sigma_p),
a_bar ~ dnorm(0,1.5),
sigma_p ~ dexp(1),
a_exp[E] ~ dnorm(0,sigma_e),
sigma_e ~ dexp(1)
),data = d, chains = 4, cores = 4, log_lik = TRUE, control = list(max_treedepth=15),iter=4000
)## Warning: The largest R-hat is NA, indicating chains have not mixed.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#r-hat## Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#bulk-ess## Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#tail-esstrankplot(m4)## Waiting to draw page 2 of 36
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precis(m4,depth = 3)## mean sd 5.5% 94.5% n_eff
## b_line[1] 0.705025467 0.122711834 0.5112589414 0.900385349 1820.207356
## b_line[2] 0.907066669 0.116167734 0.7206196630 1.091429887 1495.257908
## b_line[3] 1.456407097 0.179801645 1.1708476507 1.746715958 3265.561140
## b_line[4] 0.963764978 0.135004776 0.7444366822 1.178981224 2636.375444
## b_line[5] 0.717234945 0.124490061 0.5162425368 0.916242738 1713.260424
## b_line[6] 0.423681180 0.114931519 0.2399432343 0.607045033 1349.825162
## b_line[7] 0.912435407 0.136968483 0.6937407389 1.134060247 1970.548662
## b_line[8] 1.080647729 0.172893351 0.7983019971 1.355956864 3443.526565
## b_line[9] 1.205606716 0.284908984 0.7550075626 1.655932287 4636.354307
## b_line[10] 0.937762579 0.262933317 0.5262033584 1.370871548 6338.438134
## b_line[11] 1.196233622 0.125622842 0.9940621235 1.395609588 1667.157618
## b_line[12] 0.766333591 0.136877452 0.5495780324 0.984335255 2431.489619
## b_line[13] 0.938058248 0.109686849 0.7631968517 1.114895642 1477.231052
## b_line[14] 0.807470743 0.132294472 0.5977811361 1.017756213 2036.520839
## b_line[15] 0.677153613 0.140520459 0.4531332739 0.903033959 1856.098543
## b_line[16] 0.988315387 0.120908156 0.7987745456 1.183771214 1735.258072
## b_line[17] 0.786940718 0.134183779 0.5714033291 1.004308829 1860.480155
## b_line[18] 1.070406873 0.177076065 0.7855163806 1.354005985 2827.344972
## b_line[19] 0.809175397 0.133415561 0.5973463818 1.023068289 1998.055756
## b_line[20] 0.970612090 0.107069289 0.7984409435 1.139583141 1392.844991
## b_line[21] 0.997354081 0.110052633 0.8213347208 1.172745892 1417.172841
## b_line[22] 1.488733268 0.111724442 1.3080350269 1.665888973 1474.616488
## b_line[23] 1.438299602 0.109001380 1.2653699270 1.613249215 1431.378375
## b_line[24] 0.377746982 0.117201272 0.1898125418 0.566166265 1737.002662
## b_line[25] 0.665290655 0.112763920 0.4886326328 0.847151697 1938.141462
## b_line[26] 0.965096445 0.213733724 0.6237690242 1.312231799 3379.644039
## b_line[27] 0.985895746 0.124673133 0.7870047014 1.188115195 1893.343893
## b_line[28] 1.613925622 0.111226356 1.4350412862 1.790690364 1337.928229
## b_line[29] 0.948817052 0.142401877 0.7225952025 1.177909199 2241.929640
## b_line[30] 0.344827998 0.106837441 0.1737430383 0.516657393 1404.132786
## b_line[31] 1.468907699 0.121634949 1.2751478202 1.662979535 1626.244765
## b_line[32] 1.108518243 0.280264969 0.6595455374 1.552457170 5147.499097
## b_line[33] 1.410648197 0.119282520 1.2212243472 1.601966413 1635.397568
## b_line[34] 0.425061147 0.108006865 0.2536795331 0.597738632 1726.114717
## b_line[35] 0.445357845 0.114059073 0.2601759414 0.627133565 1857.642561
## b_line[36] 0.820556357 0.109235824 0.6486381239 0.994823664 1456.318172
## b_line[37] 0.744867030 0.107827671 0.5728911463 0.918869487 1523.243440
## b_line[38] 0.973079365 0.108074752 0.7983566096 1.144385350 1238.007019
## b_line[39] 1.061683713 0.106391694 0.8885784654 1.232367142 1371.843815
## b_line[40] 0.533090295 0.316121309 0.0254440938 1.045372102 6028.891334
## b_line[41] -0.274036208 0.122303711 -0.4704163526 -0.079951188 1667.564106
## b_line[42] 1.706929177 0.112913929 1.5264260532 1.887199711 1671.302573
## b_line[43] 0.651684146 0.132918630 0.4407197817 0.864040660 1990.945625
## b_line[44] 1.319151204 0.163054083 1.0596569761 1.578860373 2704.382811
## b_line[45] 0.639345968 0.166926726 0.3759591755 0.911964676 2941.906136
## b_line[46] 0.659327595 0.132163084 0.4520458589 0.867371908 1632.591932
## b_line[47] 0.577007083 0.123280256 0.3799517150 0.771765773 1762.679531
## b_line[48] 0.760796024 0.105652601 0.5922065896 0.930833201 1397.836755
## b_line[49] 0.525909935 0.118850537 0.3353191035 0.710613962 1645.803484
## b_line[50] 0.495976640 0.107249637 0.3235772457 0.668727555 1234.138672
## b_line[51] 0.523155530 0.113269946 0.3441870026 0.706379051 1277.378343
## b_line[52] 0.788853291 0.122336973 0.5918816013 0.982195211 2051.908722
## b_line[53] 0.286203566 0.135156603 0.0698282350 0.501049853 2232.768790
## b_line[54] 0.868347023 0.118591096 0.6798305326 1.060106544 1727.955603
## b_line[55] 0.618408289 0.162220568 0.3603071740 0.873489983 2904.527713
## b_line[56] 1.116886377 0.112199143 0.9361685294 1.296389165 1952.373573
## b_line[57] 0.976792842 0.133307044 0.7643952901 1.190055973 1989.185813
## b_line[58] 0.840919247 0.116505169 0.6562829555 1.027372236 1306.201815
## b_line[59] 0.985005293 0.116374220 0.8015675361 1.173905886 1548.156922
## b_line[60] 0.493712915 0.109770921 0.3159918177 0.667298051 1577.696091
## b_line[61] 1.266857786 0.123156091 1.0698600966 1.461023881 1888.528031
## b_line[62] 0.514109270 0.110547264 0.3354496439 0.688226943 1708.734050
## b_line[63] 0.586697643 0.127069740 0.3794309450 0.791229229 2066.195481
## b_line[64] 1.111993463 0.113854161 0.9299679418 1.292106104 1386.727756
## b_line[65] 0.934335250 0.124953145 0.7342983062 1.134986802 1489.603737
## b_line[66] 0.976016282 0.119891498 0.7828786394 1.167583305 1535.122099
## b_line[67] 1.013419874 0.218019048 0.6699437124 1.359935280 5034.268195
## b_line[68] 0.339367567 0.113407718 0.1598522952 0.523661674 1367.929106
## b_line[69] 0.850804314 0.121896148 0.6558914275 1.046735345 1830.014941
## b_line[70] 1.593877232 0.150659621 1.3531989815 1.834341957 2636.233212
## b_line[71] 1.132017418 0.146071002 0.9011884840 1.366943529 2597.824803
## b_line[72] 0.139856160 0.108163434 -0.0327794984 0.313069186 1381.256650
## b_line[73] 0.943845880 0.350696325 0.3944116046 1.507874236 5639.369958
## b_line[74] 0.497214789 0.115252286 0.3121399886 0.683233320 1546.932286
## b_line[75] 0.376704318 0.107252723 0.2053534656 0.547321497 1592.933280
## b_line[76] 0.428864950 0.120992974 0.2335860161 0.622910316 1637.949962
## b_line[77] 0.806234677 0.136693980 0.5857521063 1.021892522 2012.868511
## b_line[78] 0.288869120 0.111352805 0.1070744277 0.466154472 1582.808979
## b_line[79] 0.337882785 0.110996290 0.1595767137 0.514634141 1562.711694
## b_line[80] 0.520566221 0.137996402 0.2979460746 0.738115605 2384.498065
## b_line[81] 1.183513084 0.333938490 0.6441856320 1.713081823 4381.219930
## b_line[82] 0.707454180 0.110773996 0.5297388092 0.882334563 1413.589719
## b_line[83] 0.841376110 0.111745183 0.6610895411 1.020048137 1413.435763
## b_line[84] 0.695948259 0.302104382 0.2074256380 1.174018517 5311.456458
## b_line[85] 0.595901351 0.120231509 0.4067803678 0.791271513 1791.686551
## b_line[86] 0.832595894 0.172775878 0.5541799118 1.110134487 3472.059845
## b_line[87] 1.463061719 0.147669677 1.2253949665 1.696885457 2152.460724
## b_line[88] 0.516667247 0.115664168 0.3327767330 0.702466109 1609.440748
## b_line[89] 1.405388148 0.246624982 1.0229719306 1.809362323 4809.703223
## b_line[90] 0.399078363 0.129586065 0.1928915201 0.604958412 2300.355580
## b_line[91] 0.338447836 0.144080185 0.1069545944 0.567855715 2547.999197
## b_line[92] 0.762219190 0.122423207 0.5674277409 0.959552790 1865.470328
## b_line[93] 0.286320003 0.175191141 0.0075676741 0.565896303 2703.957678
## b_line[94] 0.427916860 0.139218359 0.2028972622 0.656840731 2438.462375
## b_line[95] 0.245184664 0.152376948 -0.0007655872 0.486388790 2329.216132
## b_line[96] 1.184727927 0.298089464 0.7063470103 1.659225327 5843.509977
## b_line[97] 0.938226274 0.173855449 0.6657785810 1.213122746 3197.026734
## b_line[98] 1.371125339 0.114745714 1.1872851144 1.556104981 1548.235664
## b_line[99] 1.566889802 0.120126982 1.3778574682 1.758532795 1658.782982
## b_line[100] 0.730346258 0.115367833 0.5440133849 0.915476855 1402.405780
## b_line[101] 1.090061907 0.128731649 0.8856182790 1.292452442 2059.805183
## b_line[102] 1.072354488 0.331650078 0.5443768731 1.604290477 4876.480396
## b_line[103] 1.112241590 0.141008346 0.8905676348 1.342968858 2433.684446
## b_line[104] 0.816347394 0.299697967 0.3374667441 1.293193745 5457.690639
## b_line[105] 0.937416604 0.137995750 0.7196430435 1.160399056 2680.421736
## b_line[106] 0.335188391 0.132984796 0.1204654699 0.545550017 2020.594308
## b_line[107] 1.095904424 0.125057124 0.8901828973 1.294566541 1797.920141
## b_line[108] 1.088647469 0.248742302 0.6878704484 1.483137316 4005.425114
## b_line[109] 0.436283800 0.166994785 0.1700177194 0.707623112 2855.000048
## b_line[110] 1.674628514 0.231533195 1.3070471102 2.046584814 3629.502671
## b_line[111] 0.370752726 0.140932542 0.1439435799 0.593919310 2049.356082
## b_line[112] 0.860846448 0.175363267 0.5748437574 1.141082312 3197.307260
## b_line[113] 0.619364779 0.126778179 0.4166243312 0.823129061 2085.764014
## b_line[114] 0.832992671 0.112555768 0.6544774978 1.013474158 1397.203390
## b_line[115] 0.291640389 0.133381546 0.0827130269 0.504841691 1873.782330
## b_line[116] 1.576610285 0.125767259 1.3726322399 1.772769196 1928.225110
## b_line[117] 1.746027841 0.157317965 1.4941575336 1.994091962 2246.001962
## b_line[118] 0.470849346 0.109908442 0.2967083554 0.646986358 1737.169562
## b_line[119] 1.001637983 0.107762862 0.8313116596 1.168740732 1117.928210
## b_line[120] 1.275579867 0.268130044 0.8504113932 1.710645220 5718.765002
## b_line[121] 1.069468642 0.332517667 0.5431373925 1.615016416 4743.398487
## b_line[122] 0.476538723 0.112969275 0.2950572889 0.653741762 1556.719719
## b_line[123] 0.723233064 0.114606959 0.5389054310 0.904094608 1508.429680
## b_line[124] 0.489697672 0.102337268 0.3283577976 0.651674668 1238.631535
## b_line[125] 0.987195717 0.114769777 0.8045992838 1.170703447 1639.572349
## b_line[126] 1.013847055 0.194687980 0.7088054612 1.326714757 3730.712555
## b_line[127] 1.361933132 0.124575731 1.1613153633 1.559709592 1972.237343
## b_line[128] 1.234024438 0.125596976 1.0367042607 1.436489360 1728.425347
## b_line[129] 0.442850214 0.116761173 0.2565710096 0.631521237 2112.624543
## b_line[130] 1.020198511 0.128372687 0.8146684023 1.226375297 2169.245859
## b_line[131] 1.249932885 0.135748685 1.0306852873 1.468969748 1985.827840
## b_line[132] 0.676094704 0.107391661 0.5049506856 0.847190804 1339.870248
## b_line[133] 1.093556214 0.112725021 0.9149391948 1.272074306 1653.572786
## b_line[134] 0.865159471 0.397952281 0.2277268586 1.491819709 5390.044052
## b_line[135] 0.843825574 0.217315131 0.4977538121 1.194260311 3923.283138
## b_line[136] 1.313194694 0.281202400 0.8617288080 1.765537668 5274.772200
## b_line[137] 1.023536062 0.110680612 0.8452960111 1.201589710 1517.726319
## b_line[138] 1.077422679 0.121332029 0.8837709739 1.270647338 1681.659370
## b_line[139] 0.963156505 0.120227825 0.7691148143 1.152461822 1701.196660
## b_line[140] 0.818616091 0.111223994 0.6407521902 0.996501058 1787.485991
## b_line[141] 1.173425263 0.186069274 0.8783183991 1.471568255 3433.097574
## b_line[142] 0.225369426 0.111930814 0.0501642990 0.406623557 1449.988311
## b_line[143] 0.398131524 0.121967288 0.2000815908 0.590347604 1843.134120
## b_line[144] 0.059393506 0.124367704 -0.1413973084 0.257207351 1348.316997
## b_line[145] 0.511152755 0.118821458 0.3195268270 0.699065749 1531.266368
## b_line[146] 0.599679462 0.137254972 0.3817801119 0.820641166 2221.065868
## b_line[147] 0.730453196 0.113277503 0.5508860274 0.911314179 1350.200489
## b_line[148] 0.996196076 0.118987863 0.8033864492 1.186573890 1852.271656
## b_line[149] 1.196129726 0.117438251 1.0079285961 1.381868735 1575.134180
## b_line[150] 1.184453583 0.126218185 0.9843061527 1.385759080 1755.503606
## b_line[151] 0.792372760 0.302132780 0.2988353010 1.267802020 5876.583271
## b_line[152] 1.553895149 0.138854943 1.3304620873 1.775985499 2857.775391
## b_line[153] 1.307212243 0.125099444 1.1086075089 1.506225078 2106.435355
## b_line[154] 1.087904139 0.131309775 0.8744567923 1.296544851 1718.038262
## b_line[155] 1.183346581 0.119766695 0.9911377077 1.375748023 1871.801172
## b_line[156] 0.278107113 0.172975323 0.0024961914 0.560747747 2673.255694
## b_line[157] 0.652515991 0.121664118 0.4554988581 0.846144056 1338.409731
## b_line[158] 0.951395596 0.342209947 0.4033056748 1.491977814 4038.363461
## b_line[159] 0.657364667 0.146688246 0.4259621164 0.892992569 2309.961004
## b_line[160] 0.706450287 0.130238877 0.4958848927 0.915664367 2263.492608
## b_line[161] 1.212959127 0.117120785 1.0263050631 1.398044090 1605.948243
## b_line[162] 0.368961354 0.109370139 0.1929877853 0.543902589 1461.563192
## b_line[163] 0.435048333 0.110694956 0.2541239365 0.608377641 1393.455086
## b_line[164] 0.684036320 0.130242094 0.4753435660 0.889320746 2010.750537
## b_line[165] 0.926074827 0.136313176 0.7080007985 1.142078636 1769.385334
## b_line[166] 0.834300506 0.108360668 0.6605756722 1.006112139 1318.539631
## b_line[167] 0.666772042 0.129682898 0.4562566304 0.873737848 2070.575162
## b_line[168] 0.820765380 0.129160306 0.6127779643 1.027579715 2186.577070
## b_line[169] 0.879297182 0.117771625 0.6890975357 1.068387713 1850.782578
## b_line[170] 0.867687384 0.118523331 0.6744860253 1.050676426 1806.479721
## b_line[171] 1.144511242 0.114662050 0.9634207437 1.328900565 1522.464285
## b_line[172] 0.865423862 0.111456831 0.6854797612 1.044534528 1412.444089
## b_line[173] 0.211487049 0.111571779 0.0330994162 0.393320798 1603.121245
## b_line[174] 1.203613578 0.106634158 1.0341932853 1.372134633 1290.698245
## b_line[175] 1.132785978 0.321697106 0.6113050163 1.649236514 5274.951577
## b_line[176] 1.072561890 0.114525272 0.8898870761 1.258569619 1658.851720
## b_line[177] 1.099679903 0.115696703 0.9140547121 1.283094787 1704.148884
## b_line[178] 1.147058198 0.107280304 0.9758389716 1.319854484 1258.680024
## b_line[179] 1.677340427 0.108398392 1.5051865931 1.851827313 1340.577993
## b_line[180] 1.287261663 0.120654299 1.0968767565 1.481826251 1978.385264
## a_line[1] -0.692670051 1.526508869 -3.0800206662 1.644534083 4.310881
## a_line[2] -1.245192993 1.524198142 -3.6252101522 1.089711582 4.297569
## a_line[3] -1.468174613 1.545648743 -3.9000739438 0.933754928 4.354373
## a_line[4] 1.160327163 1.530464153 -1.2476198783 3.520137614 4.324384
## a_line[5] 0.284407151 1.526398741 -2.0817985965 2.632514257 4.301802
## a_line[6] -0.095214080 1.523088254 -2.4912631471 2.233595392 4.300325
## a_line[7] -1.468405476 1.527305918 -3.8582584895 0.866487299 4.302210
## a_line[8] -1.776895478 1.537935032 -4.1804513444 0.594520328 4.388316
## a_line[9] -1.632672340 1.567272916 -4.1021652471 0.755243209 4.493668
## a_line[10] -1.169816446 1.594381839 -3.6824585406 1.270207994 4.564398
## a_line[11] -2.405322860 1.525827283 -4.7845106713 -0.076118002 4.304983
## a_line[12] -1.341069382 1.532298926 -3.7422514077 0.998261040 4.305151
## a_line[13] -1.132247160 1.522760140 -3.5084167917 1.220804954 4.301630
## a_line[14] -0.575296532 1.529926984 -2.9555761320 1.784338621 4.337084
## a_line[15] -0.705363941 1.527426396 -3.1002211574 1.654346045 4.326656
## a_line[16] -1.525042202 1.526123947 -3.9202710916 0.803506297 4.301399
## a_line[17] -0.635157947 1.526614727 -3.0129290822 1.692478294 4.268666
## a_line[18] -1.537233604 1.535954250 -3.9290774189 0.832149099 4.375683
## a_line[19] -1.215433812 1.533204912 -3.6008648738 1.142319827 4.336005
## a_line[20] -0.290298687 1.523535918 -2.6719729090 2.071111350 4.301303
## a_line[21] -1.276450767 1.524067452 -3.6596835457 1.055958265 4.319633
## a_line[22] -1.785976601 1.522159622 -4.1508036181 0.543178296 4.291803
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## a_line[50] -0.231870379 1.524175897 -2.6171164470 2.087242545 4.283252
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## a_line[52] -1.138065806 1.528857980 -3.5236197814 1.209759103 4.300371
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## a_line[55] -0.343149518 1.532110764 -2.7365260934 1.992891284 4.355669
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## a_line[57] -1.119105402 1.527600990 -3.5056678988 1.210600832 4.332759
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## a_line[60] 1.681949176 1.522516019 -0.6955772599 4.024066870 4.291840
## a_line[61] -1.494477328 1.531362721 -3.8892360553 0.856991739 4.325409
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## a_line[72] 1.236485416 1.522024217 -1.1262367303 3.557395508 4.283116
## a_line[73] -1.146454206 1.662251396 -3.7999136013 1.452773582 4.981559
## a_line[74] 0.826103456 1.526929501 -1.5769442043 3.161078625 4.314370
## a_line[75] 0.230593780 1.524893455 -2.1470501040 2.560379373 4.285101
## a_line[76] -0.282248373 1.526486919 -2.6662736107 2.055702605 4.312251
## a_line[77] -0.744783138 1.528140636 -3.1325348157 1.602379101 4.324738
## a_line[78] 1.116169113 1.523251454 -1.2776582710 3.451499878 4.299969
## a_line[79] 0.334438708 1.526279606 -2.0607174237 2.657589220 4.300000
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## a_line[81] -1.992771549 1.654650226 -4.6030086110 0.589366185 5.038825
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## a_line[83] -0.592116609 1.528139171 -2.9677432304 1.736331617 4.286618
## a_line[84] -0.898401888 1.601948119 -3.4181784608 1.578191058 4.769440
## a_line[85] -0.521252964 1.525962324 -2.9231653766 1.807525183 4.316696
## a_line[86] -1.523899871 1.537611351 -3.9423662698 0.838218635 4.360834
## a_line[87] -2.411849988 1.533104352 -4.7951771013 -0.060208829 4.335252
## a_line[88] -0.493365545 1.526312067 -2.8819341684 1.830551200 4.335388
## a_line[89] -2.282901341 1.577475313 -4.7355791911 0.187901491 4.518403
## a_line[90] 0.653162389 1.524232348 -1.7193143897 3.001156191 4.338365
## a_line[91] 1.321755643 1.531328731 -1.0891261751 3.674186745 4.343187
## a_line[92] -0.315687665 1.525921315 -2.6934407923 2.023442351 4.299335
## a_line[93] 0.334855633 1.533138541 -2.0856528540 2.687511811 4.365573
## a_line[94] 0.263831209 1.537131066 -2.1201773251 2.614810965 4.299044
## a_line[95] 1.677618926 1.534080460 -0.7109796067 4.028711666 4.308711
## a_line[96] -2.015786074 1.581799398 -4.4900585920 0.472032215 4.568020
## a_line[97] -1.477798921 1.540011194 -3.8954185737 0.885117474 4.395186
## a_line[98] -2.110683520 1.525530673 -4.4866959188 0.221345790 4.307214
## a_line[99] -1.966781896 1.529216035 -4.3506259177 0.401684075 4.311118
## a_line[100] -0.655150064 1.521813392 -3.0056284915 1.671786639 4.300332
## a_line[101] -1.257046071 1.527285505 -3.6538947977 1.079431818 4.308049
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## a_line[103] -1.368733578 1.534988233 -3.7709047388 0.988145454 4.320733
## a_line[104] -0.889267209 1.575688276 -3.3954724835 1.542055585 4.571140
## a_line[105] -0.896792304 1.530579400 -3.2882573716 1.434955929 4.302166
## a_line[106] 0.698365728 1.530916782 -1.6786776220 3.019081752 4.290625
## a_line[107] -0.316527504 1.521683777 -2.6990973636 2.025763121 4.331668
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## a_line[109] -0.843034912 1.536812456 -3.2671379411 1.512186742 4.368861
## a_line[110] -2.504387897 1.543093674 -4.9103741578 -0.126285062 4.357853
## a_line[111] 0.190132278 1.527895781 -2.1988631781 2.536565853 4.303666
## a_line[112] -1.889096892 1.535109295 -4.3060130471 0.476018354 4.375000
## a_line[113] -0.511852049 1.531204024 -2.9014645569 1.816746006 4.335214
## a_line[114] -1.321478601 1.523464304 -3.6837583158 1.023195384 4.283065
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## a_line[116] -2.558773385 1.529121959 -4.9412316950 -0.222062045 4.292307
## a_line[117] -2.384846129 1.536311894 -4.7641692377 -0.012968443 4.357920
## a_line[118] 0.522793172 1.523451526 -1.8544593699 2.856466370 4.283919
## a_line[119] -1.518007863 1.521843522 -3.8978191328 0.832065902 4.267347
## a_line[120] -2.427029736 1.570395718 -4.9315433543 0.001139379 4.452780
## a_line[121] -1.623696044 1.610610088 -4.1384579976 0.853203169 4.642650
## a_line[122] 0.269559806 1.524005180 -2.1043091251 2.598532207 4.315473
## a_line[123] -0.283668025 1.520631510 -2.6623188068 2.042634400 4.298025
## a_line[124] 0.480269702 1.521752102 -1.9135580284 2.797895584 4.308927
## a_line[125] -1.246950607 1.523462197 -3.6449876359 1.082150273 4.334503
## a_line[126] -1.321936931 1.541714945 -3.7503390664 1.015552810 4.390366
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## a_line[128] -2.113467390 1.526206869 -4.4964761012 0.231567597 4.306911
## a_line[129] 0.775292477 1.525509583 -1.5986663697 3.127169692 4.300304
## a_line[130] -1.031687061 1.524554517 -3.4158582298 1.295740392 4.283007
## a_line[131] -1.642211809 1.534248693 -4.0532463070 0.708262472 4.290373
## a_line[132] -0.573410836 1.524627313 -2.9461006503 1.747125780 4.285733
## a_line[133] -0.974395093 1.520380567 -3.3490664725 1.369661087 4.301140
## a_line[134] -0.972099932 1.761601785 -3.7827563253 1.831329307 5.657680
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## a_line[136] -2.603766866 1.566299783 -5.0436602030 -0.213153459 4.507494
## a_line[137] -1.426078443 1.526055357 -3.8092932307 0.922288899 4.292847
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## a_line[139] -0.499750543 1.524728288 -2.8763219095 1.829531510 4.296720
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## a_line[141] -1.289481712 1.540168664 -3.7102939346 1.069920437 4.396855
## a_line[142] 0.391871158 1.523849921 -1.9748376802 2.709957103 4.305248
## a_line[143] -0.550535858 1.527439239 -2.9305265356 1.783141080 4.344481
## a_line[144] 0.798901563 1.524959778 -1.5779541023 3.151411830 4.299474
## a_line[145] -0.001957782 1.523204302 -2.3734027488 2.339788752 4.295047
## a_line[146] 0.051895314 1.527499024 -2.3401256667 2.383467270 4.287303
## a_line[147] -0.826712040 1.523345053 -3.2173225399 1.512881111 4.317631
## a_line[148] -1.116018984 1.526723045 -3.4951452195 1.214709280 4.296386
## a_line[149] -1.448203650 1.529716138 -3.8388042705 0.884613986 4.306019
## a_line[150] -1.978870530 1.530367327 -4.3750582688 0.356124069 4.313521
## a_line[151] -0.495884752 1.582063561 -2.9729398009 1.935693938 4.606404
## a_line[152] -1.687554700 1.531193013 -4.0748630048 0.635532028 4.318244
## a_line[153] -1.850949505 1.528162778 -4.2517975064 0.488527218 4.306959
## a_line[154] -0.797900978 1.532361091 -3.1847903273 1.554325264 4.341850
## a_line[155] -1.194969092 1.527926051 -3.5967411561 1.153740279 4.296796
## a_line[156] 0.218699412 1.534386264 -2.1881688590 2.578681460 4.424267
## a_line[157] -0.383314434 1.527293730 -2.7800456110 1.935576812 4.317748
## a_line[158] -1.350244292 1.656862475 -3.9683774845 1.210793930 5.103447
## a_line[159] -0.776052868 1.531489694 -3.1636241580 1.581797695 4.324365
## a_line[160] -0.684071820 1.531681489 -3.0776453816 1.643853887 4.323675
## a_line[161] -1.714696133 1.527632067 -4.0809547745 0.636419378 4.302413
## a_line[162] -0.035947798 1.523460367 -2.4132616267 2.286487829 4.305516
## a_line[163] 0.370708493 1.523786358 -2.0093723109 2.712591551 4.301834
## a_line[164] -0.583799957 1.528315793 -2.9577238946 1.752422394 4.325490
## a_line[165] -2.075658465 1.524203893 -4.4483122549 0.274024503 4.302260
## a_line[166] -1.293459643 1.523824472 -3.6855672323 1.044542967 4.301505
## a_line[167] -1.000614993 1.529594298 -3.3966410558 1.320038024 4.321783
## a_line[168] 0.262158394 1.527563152 -2.1176783804 2.583418687 4.311911
## a_line[169] -1.513286637 1.526923062 -3.9004211634 0.809164433 4.289575
## a_line[170] -1.160222881 1.527238900 -3.5461789679 1.185083696 4.316987
## a_line[171] -1.370110826 1.525850409 -3.7425644496 0.971354767 4.299746
## a_line[172] -0.089592564 1.524534208 -2.4712880328 2.254628462 4.261999
## a_line[173] 1.164841321 1.524493042 -1.2234904047 3.493499341 4.275340
## a_line[174] -1.562270172 1.523085070 -3.9389439234 0.780134411 4.300308
## a_line[175] -1.834265988 1.627040043 -4.4084541334 0.689230565 4.682799
## a_line[176] -1.224765208 1.526809223 -3.6112758571 1.113118232 4.275318
## a_line[177] 0.134316801 1.525738569 -2.2510020351 2.458063108 4.283623
## a_line[178] -1.689165121 1.520192630 -4.0607290276 0.640838721 4.304338
## a_line[179] -2.658395885 1.524120934 -5.0435394608 -0.320230450 4.289560
## a_line[180] -1.841798257 1.527475402 -4.2374422825 0.505790865 4.290186
## a -0.818031784 1.515540695 -3.1779499506 1.507499560 4.262541
## b 0.860024200 0.055818923 0.7708411633 0.949983894 361.379103
## sigma_A[1] 1.048331183 0.058528321 0.9604024172 1.147685363 3597.121308
## sigma_A[2] 0.400080492 0.024732884 0.3621051532 0.441828240 3211.721347
## Rho[1,1] 1.000000000 0.000000000 1.0000000000 1.000000000 NaN
## Rho[1,2] -0.838861715 0.024519700 -0.8754155059 -0.797053160 4023.562791
## Rho[2,1] -0.838861715 0.024519700 -0.8754155059 -0.797053160 4023.562791
## Rho[2,2] 1.000000000 0.000000000 1.0000000000 1.000000000 NaN
## sigma 0.579587065 0.003184153 0.5745163512 0.584663655 10606.008022
## a_plate[1] -0.884630603 1.481806682 -3.1266761774 1.384391053 4.029134
## a_plate[2] -0.991589133 1.486053855 -3.2227982619 1.277096901 4.024236
## a_plate[3] -0.571751341 1.481643863 -2.8119304984 1.682314005 4.039845
## a_plate[4] -0.590731361 1.485257159 -2.8203480592 1.678448723 4.040827
## a_plate[5] -0.299163296 1.482566089 -2.5483259053 1.975681876 4.032982
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## a_plate[8] -0.550571471 1.485071725 -2.7973199855 1.721755355 4.034989
## a_plate[9] -0.327435153 1.482441307 -2.5778948106 1.939773085 4.031721
## a_plate[10] -0.302336959 1.485015514 -2.5392055403 1.967370966 4.028395
## a_plate[11] -0.451409855 1.482032163 -2.6943105516 1.815668282 4.039731
## a_plate[12] -0.510672108 1.487400672 -2.7461244978 1.753397690 4.038343
## a_plate[13] -0.635163288 1.482510762 -2.8734244546 1.633261955 4.030281
## a_plate[14] 0.030068143 1.485733777 -2.2081787023 2.298389175 4.027688
## a_plate[15] -0.318035398 1.480583202 -2.5612022212 1.941546187 4.037597
## a_plate[16] -0.739645084 1.484951344 -2.9681523429 1.518161740 4.033336
## a_plate[17] -0.347846826 1.482542901 -2.5967269837 1.914361458 4.027455
## a_plate[18] -0.218853347 1.486214739 -2.4568041989 2.045898299 4.029421
## a_plate[19] -0.510397559 1.483289031 -2.7593919190 1.765600601 4.036281
## a_plate[20] -0.642978766 1.484519829 -2.8756317312 1.621593308 4.038119
## a_plate[21] -1.067488801 1.482002034 -3.3098702119 1.196336138 4.029023
## a_plate[22] -1.185875151 1.486046535 -3.4134478828 1.080019426 4.027730
## a_plate[23] -0.684584964 1.482785762 -2.9352256916 1.582256024 4.041652
## a_plate[24] -0.646219366 1.483786711 -2.8809426294 1.619950238 4.033701
## a_plate[25] -0.634245719 1.482380929 -2.8855750464 1.632263632 4.041202
## a_plate[26] -0.399491926 1.487250485 -2.6408251814 1.866363125 4.032327
## a_plate[27] -0.770401562 1.480964346 -3.0204698625 1.491332455 4.049043
## a_plate[28] -0.817299609 1.486716012 -3.0587996195 1.458918569 4.040142
## a_plate[29] -0.683130942 1.482472155 -2.9447053183 1.582780143 4.034900
## a_plate[30] -1.040351063 1.486618507 -3.2760649387 1.224328110 4.017338
## a_plate[31] -0.184143198 1.482806025 -2.4373427889 2.068216526 4.035828
## a_plate[32] -0.528354726 1.484695671 -2.7657482618 1.726768034 4.040235
## a_plate[33] -0.430975261 1.482517146 -2.6778685024 1.832285075 4.032298
## a_plate[34] -0.288092604 1.484888784 -2.5257960752 1.970992875 4.032122
## a_plate[35] 0.081499677 1.482429040 -2.1579686244 2.343747453 4.044261
## a_plate[36] -0.792880921 1.486605074 -3.0338166124 1.478701195 4.047908
## a_plate[37] -0.599564445 1.482600208 -2.8447127227 1.659715154 4.032058
## a_plate[38] -0.169801083 1.485496287 -2.4002403149 2.102818325 4.032760
## a_plate[39] -0.228377015 1.483191633 -2.4840433290 2.022564411 4.049781
## a_plate[40] -0.241845887 1.485925050 -2.4810339101 2.026028909 4.041868
## a_plate[41] -0.954562363 1.483326716 -3.1866659591 1.315473215 4.040562
## a_plate[42] -0.171968393 1.486256219 -2.4007552855 2.095830312 4.036717
## a_plate[43] -0.602637771 1.483146031 -2.8512437990 1.659837009 4.045121
## a_plate[44] -0.738911199 1.485670687 -2.9764799658 1.528194824 4.040191
## a_plate[45] -0.699292174 1.481401723 -2.9415639387 1.551762221 4.027398
## a_plate[46] -0.354099678 1.487175212 -2.5896143756 1.911590638 4.024126
## a_plate[47] -0.411664107 1.482775158 -2.6582160234 1.856178351 4.041218
## a_plate[48] -0.573857583 1.483964231 -2.8092823100 1.692464408 4.032235
## a_plate[49] -0.882410858 1.482584945 -3.1269015455 1.380694783 4.027703
## a_plate[50] -0.450867143 1.486393005 -2.6913535591 1.819828963 4.033621
## a_plate[51] -0.469158127 1.481663599 -2.7168850651 1.791552052 4.041643
## a_plate[52] -0.674366032 1.485270670 -2.9149202216 1.588205844 4.036989
## a_plate[53] -0.913204113 1.482137025 -3.1566681891 1.350010122 4.036429
## a_plate[54] -0.625587772 1.486414416 -2.8718643733 1.640968808 4.035352
## a_plate[55] -0.541488922 1.482713995 -2.7844017489 1.712995380 4.046013
## a_plate[56] -0.567260776 1.486293743 -2.8031847995 1.690575632 4.035041
## a_plate[57] -0.448005585 1.482835226 -2.6933912360 1.811221295 4.022631
## a_plate[58] -0.423315225 1.485149226 -2.6650904924 1.836373278 4.029468
## a_plate[59] -0.377005745 1.481720383 -2.6455728414 1.880214723 4.048368
## a_plate[60] -0.683495135 1.485903625 -2.9178546996 1.589430276 4.038302
## a_plate[61] -0.358311427 1.481795945 -2.5998783528 1.905236107 4.031821
## a_plate[62] -0.411220858 1.485736003 -2.6489243516 1.856170119 4.028823
## a_plate[63] -0.111528157 1.482061553 -2.3619900605 2.153926860 4.043100
## a_plate[64] -0.445095069 1.486857107 -2.6793210221 1.820452476 4.043339
## a_plate[65] -0.639914805 1.481964665 -2.8883209598 1.624516159 4.028084
## a_plate[66] -0.552296595 1.487599690 -2.7945878073 1.721107147 4.043954
## a_plate[67] -0.121729691 1.481546638 -2.3619651596 2.146301764 4.043674
## a_plate[68] -0.790854146 1.484878109 -3.0172963005 1.475174753 4.042569
## a_plate[69] -0.336928681 1.481327308 -2.5797748832 1.930465822 4.032996
## a_plate[70] -0.367280897 1.485232829 -2.5992831639 1.902663216 4.030892
## a_plate[71] -0.296987453 1.480676067 -2.5346080412 1.956260431 4.034779
## a_plate[72] -0.560203011 1.485654125 -2.7981377624 1.708235179 4.035621
## a_plate[73] -0.600752980 1.482914120 -2.8507224055 1.667340194 4.041999
## a_plate[74] 0.115957059 1.483824522 -2.1160477700 2.388328718 4.030389
## a_plate[75] -0.653178940 1.481441298 -2.9079054567 1.605927476 4.037476
## a_plate[76] -0.651745822 1.485640112 -2.8914872389 1.616957276 4.038858
## a_plate[77] -1.043545162 1.482672870 -3.2938201056 1.219157961 4.031984
## a_plate[78] -0.255137706 1.484303546 -2.5013860684 2.009514847 4.033530
## a_plate[79] -0.759062377 1.481938415 -3.0018273386 1.497628054 4.036636
## a_plate[80] -0.824509228 1.486048406 -3.0687157952 1.445914353 4.043228
## a_plate[81] -0.322913242 1.482119059 -2.5636240106 1.937203310 4.036643
## a_plate[82] -0.324007915 1.483452202 -2.5522277001 1.939417794 4.037115
## a_plate[83] -0.493257598 1.482540107 -2.7514881384 1.765898866 4.036793
## a_plate[84] -0.588866262 1.485989713 -2.8214837672 1.676392698 4.043539
## a_plate[85] -1.391144978 1.482427082 -3.6364580627 0.870886403 4.041211
## a_plate[86] -0.350818089 1.485030647 -2.5880190867 1.919756131 4.024939
## a_plate[87] -0.229857639 1.482451168 -2.4781365681 2.039598743 4.044777
## a_plate[88] -0.706266584 1.485281824 -2.9500604011 1.547947167 4.042739
## a_plate[89] -0.534543016 1.482802027 -2.7879908122 1.740780483 4.037666
## a_plate[90] -0.183907555 1.484900150 -2.4108987410 2.082158745 4.034501
## a_plate[91] -0.631964058 1.482450272 -2.8818883757 1.627515351 4.045289
## a_plate[92] -0.798443244 1.484658290 -3.0341577246 1.453193552 4.040879
## a_plate[93] -0.645775422 1.483255367 -2.8920054411 1.615555040 4.033468
## a_plate[94] 0.002178581 1.484985648 -2.2422243598 2.280428512 4.035669
## a_plate[95] -0.339671602 1.481989217 -2.5876044847 1.932147862 4.035945
## a_plate[96] -0.716504556 1.485465549 -2.9561071399 1.551257968 4.039503
## a_plate[97] -0.682173797 1.482732845 -2.9371569590 1.579936803 4.031319
## a_plate[98] -0.227338197 1.486043741 -2.4659373109 2.047387099 4.033362
## a_plate[99] -0.173871521 1.483135910 -2.4109221288 2.092138941 4.042087
## a_plate[100] -0.648148558 1.483892947 -2.8829418651 1.609645202 4.038766
## a_plate[101] -0.627160796 1.482741035 -2.8767344608 1.642465011 4.031874
## a_plate[102] 0.060736693 1.485766536 -2.1796238929 2.336254031 4.027471
## a_plate[103] -0.361126604 1.481347813 -2.6068717276 1.904762768 4.038603
## a_plate[104] -0.694904487 1.486599296 -2.9316403366 1.570725766 4.042525
## a_plate[105] -0.287220887 1.482467849 -2.5258260708 1.985948931 4.034419
## a_plate[106] -0.230721569 1.484212209 -2.4562592339 2.042397446 4.030403
## a_plate[107] -0.162707829 1.482404696 -2.4050866240 2.099456494 4.043922
## a_plate[108] -0.528504328 1.484236838 -2.7660748754 1.733066389 4.044928
## a_plate[109] -0.591208065 1.479879115 -2.8258450839 1.675247292 4.038539
## a_plate[110] -0.283136039 1.486481729 -2.5209297611 1.977741773 4.036726
## a_plate[111] -0.138004404 1.482930344 -2.3806507887 2.130840691 4.035663
## a_plate[112] -0.541365006 1.485076913 -2.7846495424 1.722622288 4.033946
## a_plate[113] -0.328715535 1.483340843 -2.5718520569 1.955630567 4.036376
## a_plate[114] -0.482525738 1.485267313 -2.7087537932 1.789922912 4.032602
## a_plate[115] -0.251597032 1.481357219 -2.4968848537 2.006869191 4.047119
## a_plate[116] -0.467113826 1.485487832 -2.6956752209 1.798424139 4.034387
## a_plate[117] -0.800320911 1.484916589 -3.0473498737 1.458681998 4.029950
## a_plate[118] -0.229668014 1.486046249 -2.4713748805 2.036729515 4.028227
## a_plate[119] 0.065384212 1.482766549 -2.1859689500 2.316578702 4.031264
## a_plate[120] -0.733389091 1.485943550 -2.9749806095 1.533169098 4.046399
## a_plate[121] -0.726358732 1.482066408 -2.9794478148 1.538492064 4.029941
## a_plate[122] -0.082591471 1.485015846 -2.3156564143 2.194534196 4.035833
## a_plate[123] -0.063580205 1.482245808 -2.3132180366 2.193980318 4.039939
## a_plate[124] -0.787124423 1.485797056 -3.0383481622 1.478142202 4.030899
## a_plate[125] -0.829256883 1.481245571 -3.0730175367 1.436990902 4.038747
## a_plate[126] -0.561012809 1.484775367 -2.7903399876 1.703387025 4.034439
## a_plate[127] -0.278016398 1.482748473 -2.5212802699 1.977327989 4.042364
## a_plate[128] -0.379006906 1.486009422 -2.6161179360 1.878777144 4.043752
## a_plate[129] -0.930825505 1.481456574 -3.1667827128 1.331489402 4.027644
## a_plate[130] -0.748549005 1.486573907 -2.9839324137 1.522783301 4.031046
## a_plate[131] -0.752537711 1.483296022 -3.0058785376 1.512789134 4.041212
## a_plate[132] -0.889366469 1.484643099 -3.1192756603 1.386748481 4.037809
## a_plate[133] -0.563167033 1.481147351 -2.8098217383 1.699431256 4.036130
## a_plate[134] -0.415920637 1.485910936 -2.6465240403 1.857064679 4.030620
## a_plate[135] -0.563380536 1.482907165 -2.8111905621 1.707401643 4.043046
## a_plate[136] -0.697192751 1.485937695 -2.9425284029 1.571442839 4.032060
## a_plate[137] -0.388812840 1.482668331 -2.6206924667 1.882807615 4.040694
## a_plate[138] -0.638418348 1.486775494 -2.8792961066 1.621509910 4.036492
## a_plate[139] -0.010554530 1.481974839 -2.2560816255 2.248475492 4.044905
## a_plate[140] -0.365679360 1.486124487 -2.6063329605 1.904451767 4.035785
## a_plate[141] -0.085590538 1.481979365 -2.3225840918 2.187102705 4.028901
## a_plate[142] -0.277494696 1.485922262 -2.5142853303 1.992586828 4.038919
## a_plate[143] -0.799709768 1.483607122 -3.0556152321 1.467721342 4.041562
## a_plate[144] -0.354644126 1.485662717 -2.5999250599 1.910590896 4.039032
## a_plate[145] -0.481820346 1.481503234 -2.7201837407 1.779113659 4.032862
## a_plate[146] -0.445233493 1.484801488 -2.6778341408 1.823282488 4.025143
## a_plate[147] -0.345418430 1.482565634 -2.6120633890 1.921216059 4.035044
## a_plate[148] -0.265471007 1.485426580 -2.5046596415 2.000185678 4.044104
## a_plate[149] -0.676248746 1.482122202 -2.9249039405 1.579900887 4.033662
## a_plate[150] -0.649025460 1.485209942 -2.8799946557 1.626906887 4.035658
## a_plate[151] -0.646435637 1.482478896 -2.8894084918 1.611514704 4.039313
## a_plate[152] -0.592594391 1.486393347 -2.8330811810 1.670650458 4.043712
## a_bar -0.501491422 1.482556967 -2.7441468208 1.761609547 4.027340
## sigma_p 0.278489262 0.017319378 0.2524577837 0.307014831 7792.502268
## a_exp[1] -0.168434095 0.340364269 -0.7391527063 0.272930680 221.975742
## a_exp[2] 0.025679095 0.339337594 -0.5428617640 0.468772965 222.795421
## sigma_e 0.467761155 0.464149991 0.0856284422 1.293304919 1013.558087
## Rhat4
## b_line[1] 1.0028367
## b_line[2] 1.0035753
## b_line[3] 1.0006294
## b_line[4] 1.0014246
## b_line[5] 1.0044865
## b_line[6] 1.0033983
## b_line[7] 1.0038761
## b_line[8] 1.0010749
## b_line[9] 1.0004883
## b_line[10] 1.0008930
## b_line[11] 1.0027733
## b_line[12] 1.0013693
## b_line[13] 1.0028055
## b_line[14] 1.0024763
## b_line[15] 1.0024429
## b_line[16] 1.0036087
## b_line[17] 1.0018531
## b_line[18] 1.0021661
## b_line[19] 1.0020690
## b_line[20] 1.0031341
## b_line[21] 1.0027068
## b_line[22] 1.0029588
## b_line[23] 1.0047840
## b_line[24] 1.0029147
## b_line[25] 1.0042989
## b_line[26] 1.0025233
## b_line[27] 1.0029896
## b_line[28] 1.0052511
## b_line[29] 1.0029874
## b_line[30] 1.0027314
## b_line[31] 1.0028434
## b_line[32] 0.9998795
## b_line[33] 1.0042760
## b_line[34] 1.0023581
## b_line[35] 1.0014900
## b_line[36] 1.0039213
## b_line[37] 1.0036533
## b_line[38] 1.0031757
## b_line[39] 1.0032286
## b_line[40] 1.0000197
## b_line[41] 1.0035526
## b_line[42] 1.0037666
## b_line[43] 1.0019391
## b_line[44] 1.0021389
## b_line[45] 1.0026162
## b_line[46] 1.0037653
## b_line[47] 1.0021154
## b_line[48] 1.0045745
## b_line[49] 1.0036095
## b_line[50] 1.0033657
## b_line[51] 1.0047038
## b_line[52] 1.0019414
## b_line[53] 1.0017295
## b_line[54] 1.0033935
## b_line[55] 1.0022544
## b_line[56] 1.0029633
## b_line[57] 1.0019474
## b_line[58] 1.0035352
## b_line[59] 1.0020186
## b_line[60] 1.0022215
## b_line[61] 1.0024377
## b_line[62] 1.0024462
## b_line[63] 1.0036516
## b_line[64] 1.0047350
## b_line[65] 1.0059585
## b_line[66] 1.0035934
## b_line[67] 1.0012310
## b_line[68] 1.0035087
## b_line[69] 1.0030998
## b_line[70] 1.0010316
## b_line[71] 1.0014632
## b_line[72] 1.0034096
## b_line[73] 0.9999564
## b_line[74] 1.0047405
## b_line[75] 1.0022286
## b_line[76] 1.0038543
## b_line[77] 1.0020341
## b_line[78] 1.0044332
## b_line[79] 1.0041661
## b_line[80] 1.0013009
## b_line[81] 0.9998493
## b_line[82] 1.0030154
## b_line[83] 1.0057784
## b_line[84] 1.0002100
## b_line[85] 1.0037715
## b_line[86] 1.0015878
## b_line[87] 1.0031002
## b_line[88] 1.0043659
## b_line[89] 1.0010841
## b_line[90] 1.0024694
## b_line[91] 1.0029948
## b_line[92] 1.0017285
## b_line[93] 1.0023618
## b_line[94] 1.0010832
## b_line[95] 1.0004723
## b_line[96] 1.0002790
## b_line[97] 1.0009755
## b_line[98] 1.0042569
## b_line[99] 1.0018195
## b_line[100] 1.0035051
## b_line[101] 1.0030865
## b_line[102] 1.0004372
## b_line[103] 1.0012000
## b_line[104] 1.0006013
## b_line[105] 1.0012259
## b_line[106] 1.0019230
## b_line[107] 1.0032176
## b_line[108] 1.0021130
## b_line[109] 1.0022740
## b_line[110] 1.0006655
## b_line[111] 1.0024266
## b_line[112] 1.0014748
## b_line[113] 1.0013186
## b_line[114] 1.0048694
## b_line[115] 1.0028423
## b_line[116] 1.0031415
## b_line[117] 1.0019214
## b_line[118] 1.0022473
## b_line[119] 1.0049833
## b_line[120] 1.0001237
## b_line[121] 1.0006804
## b_line[122] 1.0029573
## b_line[123] 1.0049108
## b_line[124] 1.0044748
## b_line[125] 1.0038173
## b_line[126] 1.0018057
## b_line[127] 1.0024295
## b_line[128] 1.0041024
## b_line[129] 1.0026342
## b_line[130] 1.0044132
## b_line[131] 1.0022466
## b_line[132] 1.0020574
## b_line[133] 1.0041571
## b_line[134] 1.0011117
## b_line[135] 1.0013410
## b_line[136] 1.0012474
## b_line[137] 1.0043327
## b_line[138] 1.0034187
## b_line[139] 1.0026449
## b_line[140] 1.0023706
## b_line[141] 1.0026640
## b_line[142] 1.0034454
## b_line[143] 1.0016415
## b_line[144] 1.0047505
## b_line[145] 1.0040908
## b_line[146] 1.0026028
## b_line[147] 1.0035234
## b_line[148] 1.0040334
## b_line[149] 1.0028686
## b_line[150] 1.0036251
## b_line[151] 1.0005865
## b_line[152] 1.0006067
## b_line[153] 1.0022716
## b_line[154] 1.0038602
## b_line[155] 1.0032233
## b_line[156] 1.0025398
## b_line[157] 1.0054700
## b_line[158] 1.0000636
## b_line[159] 1.0026899
## b_line[160] 1.0025121
## b_line[161] 1.0040918
## b_line[162] 1.0040704
## b_line[163] 1.0035592
## b_line[164] 1.0025390
## b_line[165] 1.0042648
## b_line[166] 1.0041257
## b_line[167] 1.0021100
## b_line[168] 1.0026593
## b_line[169] 1.0032381
## b_line[170] 1.0030030
## b_line[171] 1.0043652
## b_line[172] 1.0031460
## b_line[173] 1.0026018
## b_line[174] 1.0032681
## b_line[175] 1.0001803
## b_line[176] 1.0020565
## b_line[177] 1.0028310
## b_line[178] 1.0054074
## b_line[179] 1.0079110
## b_line[180] 1.0014240
## a_line[1] 1.8432037
## a_line[2] 1.8443273
## a_line[3] 1.8022819
## a_line[4] 1.8352220
## a_line[5] 1.8391433
## a_line[6] 1.8502020
## a_line[7] 1.8350178
## a_line[8] 1.8126615
## a_line[9] 1.7439389
## a_line[10] 1.7061427
## a_line[11] 1.8427425
## a_line[12] 1.8335939
## a_line[13] 1.8456127
## a_line[14] 1.8330998
## a_line[15] 1.8301190
## a_line[16] 1.8397575
## a_line[17] 1.8437982
## a_line[18] 1.8110757
## a_line[19] 1.8324399
## a_line[20] 1.8514410
## a_line[21] 1.8459038
## a_line[22] 1.8482129
## a_line[23] 1.8529223
## a_line[24] 1.8484391
## a_line[25] 1.8532110
## a_line[26] 1.7767997
## a_line[27] 1.8380709
## a_line[28] 1.8499562
## a_line[29] 1.8349377
## a_line[30] 1.8479641
## a_line[31] 1.8400272
## a_line[32] 1.6836766
## a_line[33] 1.8466061
## a_line[34] 1.8484156
## a_line[35] 1.8473852
## a_line[36] 1.8462387
## a_line[37] 1.8502664
## a_line[38] 1.8499617
## a_line[39] 1.8485410
## a_line[40] 1.6509538
## a_line[41] 1.8385978
## a_line[42] 1.8414064
## a_line[43] 1.8362650
## a_line[44] 1.8164282
## a_line[45] 1.8166051
## a_line[46] 1.8275918
## a_line[47] 1.8383395
## a_line[48] 1.8557964
## a_line[49] 1.8438946
## a_line[50] 1.8537481
## a_line[51] 1.8412466
## a_line[52] 1.8410286
## a_line[53] 1.8371538
## a_line[54] 1.8403001
## a_line[55] 1.8176065
## a_line[56] 1.8489089
## a_line[57] 1.8331676
## a_line[58] 1.8489799
## a_line[59] 1.8407914
## a_line[60] 1.8450941
## a_line[61] 1.8384208
## a_line[62] 1.8452406
## a_line[63] 1.8389469
## a_line[64] 1.8460580
## a_line[65] 1.8410295
## a_line[66] 1.8437276
## a_line[67] 1.7813643
## a_line[68] 1.8430602
## a_line[69] 1.8373185
## a_line[70] 1.8223316
## a_line[71] 1.8321886
## a_line[72] 1.8496400
## a_line[73] 1.5874071
## a_line[74] 1.8403373
## a_line[75] 1.8501100
## a_line[76] 1.8400915
## a_line[77] 1.8311650
## a_line[78] 1.8502122
## a_line[79] 1.8492198
## a_line[80] 1.8301488
## a_line[81] 1.6004940
## a_line[82] 1.8495542
## a_line[83] 1.8479996
## a_line[84] 1.6890378
## a_line[85] 1.8377726
## a_line[86] 1.8109446
## a_line[87] 1.8220425
## a_line[88] 1.8400386
## a_line[89] 1.7350646
## a_line[90] 1.8354813
## a_line[91] 1.8232207
## a_line[92] 1.8456648
## a_line[93] 1.8140841
## a_line[94] 1.8294603
## a_line[95] 1.8311689
## a_line[96] 1.7311950
## a_line[97] 1.8099023
## a_line[98] 1.8419290
## a_line[99] 1.8383442
## a_line[100] 1.8459631
## a_line[101] 1.8369274
## a_line[102] 1.6618573
## a_line[103] 1.8354405
## a_line[104] 1.7240837
## a_line[105] 1.8388773
## a_line[106] 1.8446708
## a_line[107] 1.8332838
## a_line[108] 1.7296672
## a_line[109] 1.8161486
## a_line[110] 1.7974954
## a_line[111] 1.8343554
## a_line[112] 1.8080130
## a_line[113] 1.8390337
## a_line[114] 1.8471391
## a_line[115] 1.8444948
## a_line[116] 1.8449921
## a_line[117] 1.8096435
## a_line[118] 1.8504326
## a_line[119] 1.8508973
## a_line[120] 1.7488364
## a_line[121] 1.6746952
## a_line[122] 1.8418147
## a_line[123] 1.8461722
## a_line[124] 1.8517819
## a_line[125] 1.8422112
## a_line[126] 1.7915618
## a_line[127] 1.8418114
## a_line[128] 1.8466540
## a_line[129] 1.8445476
## a_line[130] 1.8458850
## a_line[131] 1.8307724
## a_line[132] 1.8468055
## a_line[133] 1.8470010
## a_line[134] 1.4730023
## a_line[135] 1.7766053
## a_line[136] 1.7317473
## a_line[137] 1.8500627
## a_line[138] 1.8492174
## a_line[139] 1.8384777
## a_line[140] 1.8485447
## a_line[141] 1.7985597
## a_line[142] 1.8456457
## a_line[143] 1.8375756
## a_line[144] 1.8399094
## a_line[145] 1.8469421
## a_line[146] 1.8378075
## a_line[147] 1.8408699
## a_line[148] 1.8504146
## a_line[149] 1.8425455
## a_line[150] 1.8404282
## a_line[151] 1.7133126
## a_line[152] 1.8305433
## a_line[153] 1.8397450
## a_line[154] 1.8300773
## a_line[155] 1.8452480
## a_line[156] 1.8055873
## a_line[157] 1.8329495
## a_line[158] 1.5915189
## a_line[159] 1.8245524
## a_line[160] 1.8263353
## a_line[161] 1.8458509
## a_line[162] 1.8460287
## a_line[163] 1.8459647
## a_line[164] 1.8379361
## a_line[165] 1.8343614
## a_line[166] 1.8503843
## a_line[167] 1.8312981
## a_line[168] 1.8397657
## a_line[169] 1.8479713
## a_line[170] 1.8466098
## a_line[171] 1.8472679
## a_line[172] 1.8532561
## a_line[173] 1.8541459
## a_line[174] 1.8476740
## a_line[175] 1.6557196
## a_line[176] 1.8485000
## a_line[177] 1.8504219
## a_line[178] 1.8447062
## a_line[179] 1.8473485
## a_line[180] 1.8475413
## a 1.8663937
## b 1.0156989
## sigma_A[1] 1.0002383
## sigma_A[2] 1.0004103
## Rho[1,1] NaN
## Rho[1,2] 1.0001507
## Rho[2,1] 1.0001507
## Rho[2,2] NaN
## sigma 1.0003996
## a_plate[1] 1.9504847
## a_plate[2] 1.9541357
## a_plate[3] 1.9498953
## a_plate[4] 1.9528538
## a_plate[5] 1.9497835
## a_plate[6] 1.9530857
## a_plate[7] 1.9496793
## a_plate[8] 1.9526549
## a_plate[9] 1.9504722
## a_plate[10] 1.9523014
## a_plate[11] 1.9476587
## a_plate[12] 1.9525224
## a_plate[13] 1.9503132
## a_plate[14] 1.9519454
## a_plate[15] 1.9502321
## a_plate[16] 1.9513923
## a_plate[17] 1.9502347
## a_plate[18] 1.9518677
## a_plate[19] 1.9501674
## a_plate[20] 1.9523711
## a_plate[21] 1.9495007
## a_plate[22] 1.9535417
## a_plate[23] 1.9503811
## a_plate[24] 1.9519027
## a_plate[25] 1.9485918
## a_plate[26] 1.9518300
## a_plate[27] 1.9494548
## a_plate[28] 1.9508010
## a_plate[29] 1.9489426
## a_plate[30] 1.9525827
## a_plate[31] 1.9494391
## a_plate[32] 1.9515341
## a_plate[33] 1.9476095
## a_plate[34] 1.9521822
## a_plate[35] 1.9480802
## a_plate[36] 1.9503266
## a_plate[37] 1.9486087
## a_plate[38] 1.9512941
## a_plate[39] 1.9479772
## a_plate[40] 1.9522977
## a_plate[41] 1.9516650
## a_plate[42] 1.9482748
## a_plate[43] 1.9490201
## a_plate[44] 1.9516460
## a_plate[45] 1.9489764
## a_plate[46] 1.9503976
## a_plate[47] 1.9496249
## a_plate[48] 1.9546743
## a_plate[49] 1.9501306
## a_plate[50] 1.9481443
## a_plate[51] 1.9465226
## a_plate[52] 1.9523621
## a_plate[53] 1.9494646
## a_plate[54] 1.9492532
## a_plate[55] 1.9479526
## a_plate[56] 1.9513313
## a_plate[57] 1.9504205
## a_plate[58] 1.9498430
## a_plate[59] 1.9475577
## a_plate[60] 1.9523289
## a_plate[61] 1.9515592
## a_plate[62] 1.9514915
## a_plate[63] 1.9481680
## a_plate[64] 1.9506046
## a_plate[65] 1.9494808
## a_plate[66] 1.9486226
## a_plate[67] 1.9478445
## a_plate[68] 1.9486610
## a_plate[69] 1.9492172
## a_plate[70] 1.9498875
## a_plate[71] 1.9492884
## a_plate[72] 1.9539503
## a_plate[73] 1.9474607
## a_plate[74] 1.9505644
## a_plate[75] 1.9504463
## a_plate[76] 1.9522381
## a_plate[77] 1.9504371
## a_plate[78] 1.9525412
## a_plate[79] 1.9489495
## a_plate[80] 1.9504199
## a_plate[81] 1.9505438
## a_plate[82] 1.9505759
## a_plate[83] 1.9516277
## a_plate[84] 1.9521637
## a_plate[85] 1.9493492
## a_plate[86] 1.9551266
## a_plate[87] 1.9455010
## a_plate[88] 1.9516841
## a_plate[89] 1.9478224
## a_plate[90] 1.9513322
## a_plate[91] 1.9473205
## a_plate[92] 1.9511896
## a_plate[93] 1.9510701
## a_plate[94] 1.9522800
## a_plate[95] 1.9503122
## a_plate[96] 1.9510169
## a_plate[97] 1.9486233
## a_plate[98] 1.9511827
## a_plate[99] 1.9473670
## a_plate[100] 1.9507888
## a_plate[101] 1.9481089
## a_plate[102] 1.9529260
## a_plate[103] 1.9516166
## a_plate[104] 1.9509773
## a_plate[105] 1.9510197
## a_plate[106] 1.9506096
## a_plate[107] 1.9466164
## a_plate[108] 1.9503660
## a_plate[109] 1.9478205
## a_plate[110] 1.9503676
## a_plate[111] 1.9497768
## a_plate[112] 1.9537499
## a_plate[113] 1.9467460
## a_plate[114] 1.9501448
## a_plate[115] 1.9500919
## a_plate[116] 1.9508248
## a_plate[117] 1.9443231
## a_plate[118] 1.9483082
## a_plate[119] 1.9485448
## a_plate[120] 1.9498252
## a_plate[121] 1.9506115
## a_plate[122] 1.9492370
## a_plate[123] 1.9493142
## a_plate[124] 1.9523189
## a_plate[125] 1.9467011
## a_plate[126] 1.9519727
## a_plate[127] 1.9468283
## a_plate[128] 1.9506207
## a_plate[129] 1.9484428
## a_plate[130] 1.9541324
## a_plate[131] 1.9491100
## a_plate[132] 1.9519261
## a_plate[133] 1.9448618
## a_plate[134] 1.9492733
## a_plate[135] 1.9476323
## a_plate[136] 1.9515071
## a_plate[137] 1.9437013
## a_plate[138] 1.9490412
## a_plate[139] 1.9462198
## a_plate[140] 1.9517764
## a_plate[141] 1.9492362
## a_plate[142] 1.9491647
## a_plate[143] 1.9479817
## a_plate[144] 1.9498894
## a_plate[145] 1.9514344
## a_plate[146] 1.9543779
## a_plate[147] 1.9497043
## a_plate[148] 1.9515037
## a_plate[149] 1.9485917
## a_plate[150] 1.9520442
## a_plate[151] 1.9511334
## a_plate[152] 1.9515258
## a_bar 1.9557363
## sigma_p 0.9997244
## a_exp[1] 1.0225616
## a_exp[2] 1.0226900
## sigma_e 1.0055965Rhat for b_line is 1, with one 1.01 Rhat for sigma_A[1],sigmaA[2],sigma is 1 Rhat for a_line is around 2-6, a 6.27, b 1.01,
Rhat for a_plate is above 5 sigma_p 1
a_exp[1] 1.35 a_exp[2] 1.35
sigma_e 1.02
stopped here
try follow example of R code 14.18
m5 <- ulam(
alist(
L ~ dnorm(mu,sigma),
mu <- g[S]+a_line[A,S]+a_plate[P,S]+a_exp[E,S], #average treatment effect, three cluster types: accession, plate, experiment, different varying effects in different cluster types
# adaptive priors
vector[2]:a_line[A] ~ multi_normal(0,Rho_line,sigma_line),
vector[2]:a_plate[P] ~ multi_normal(0,Rho_plate, sigma_plate),
vector[2]:a_exp[E] ~ multi_normal(0,Rho_exp,sigma_exp),
# fixed priors
g[S] ~ dnorm(0,1),
sigma_line ~ dexp(1),
Rho_line ~ dlkjcorr(4),
sigma_plate ~ dexp(1),
Rho_plate ~ dlkjcorr(4),
sigma_exp ~ dexp(1),
Rho_exp ~ dlkjcorr(4),
sigma ~ dexp(1)
),data = d, chains = 4,cores = 4,log_lik=TRUE
)## Warning: There were 15 divergent transitions after warmup. Increasing adapt_delta above 0.95 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup## Warning: Examine the pairs() plot to diagnose sampling problems## Warning: The largest R-hat is NA, indicating chains have not mixed.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#r-hat## Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#bulk-ess## Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#tail-essprecis(m5,depth = 3)## mean sd 5.5% 94.5%
## a_line[1,1] -4.864676e-02 9.855081e-02 -0.2126382937 0.1080280869
## a_line[1,2] -2.025463e-01 8.963756e-02 -0.3448946252 -0.0597451197
## a_line[2,1] -3.961816e-01 9.120623e-02 -0.5410896243 -0.2503353663
## a_line[2,2] -3.491157e-01 9.051741e-02 -0.4944752023 -0.2084903340
## a_line[3,1] -8.045267e-02 1.491497e-01 -0.3148626602 0.1621864099
## a_line[3,2] 5.306544e-01 1.311880e-01 0.3263979557 0.7478849963
## a_line[4,1] 2.059735e+00 1.065308e-01 1.8906104132 2.2303932383
## a_line[4,2] 2.163188e+00 9.921539e-02 2.0049466583 2.3254351177
## a_line[5,1] 9.394216e-01 9.608790e-02 0.7887222326 1.0887031627
## a_line[5,2] 7.973491e-01 9.571155e-02 0.6446586456 0.9485369542
## a_line[6,1] 2.697236e-01 8.989870e-02 0.1270176036 0.4112771893
## a_line[6,2] -1.613357e-01 8.882279e-02 -0.3083553641 -0.0253833358
## a_line[7,1] -6.148925e-01 1.054401e-01 -0.7818343292 -0.4506717705
## a_line[7,2] -5.592837e-01 1.062897e-01 -0.7322974961 -0.3931924422
## a_line[8,1] -7.540619e-01 1.272155e-01 -0.9609462392 -0.5500452622
## a_line[8,2] -5.356774e-01 1.311275e-01 -0.7462412715 -0.3304261700
## a_line[9,1] -4.795174e-01 2.116298e-01 -0.8308707230 -0.1450002188
## a_line[9,2] -1.253883e-01 2.621328e-01 -0.5472426006 0.2889901838
## a_line[10,1] -2.936341e-01 2.413434e-01 -0.6931529511 0.0927838449
## a_line[10,2] -2.157413e-01 1.792180e-01 -0.4985321068 0.0756172021
## a_line[11,1] -1.272190e+00 9.820955e-02 -1.4292833252 -1.1144086604
## a_line[11,2] -9.370055e-01 9.364717e-02 -1.0832502265 -0.7909670627
## a_line[12,1] -6.392117e-01 1.036256e-01 -0.8019722859 -0.4749186766
## a_line[12,2] -7.274693e-01 1.019343e-01 -0.8930752547 -0.5693534370
## a_line[13,1] -2.582231e-01 8.900198e-02 -0.4035616460 -0.1192209063
## a_line[13,2] -1.785016e-01 8.185068e-02 -0.3132125383 -0.0484566585
## a_line[14,1] 1.708030e-01 1.071891e-01 0.0014244924 0.3427051266
## a_line[14,2] 1.242795e-01 9.286409e-02 -0.0190968398 0.2790167206
## a_line[15,1] -8.774647e-02 1.052533e-01 -0.2572854381 0.0808056473
## a_line[15,2] -2.688064e-01 1.012522e-01 -0.4325032513 -0.1011091261
## a_line[16,1] -6.015742e-01 9.907005e-02 -0.7527127863 -0.4399315047
## a_line[16,2] -4.698025e-01 8.769340e-02 -0.6131526548 -0.3350533317
## a_line[17,1] 8.841033e-02 9.638414e-02 -0.0607512179 0.2470789847
## a_line[17,2] 2.087112e-02 1.020002e-01 -0.1404956316 0.1824505088
## a_line[18,1] -5.246145e-01 1.221614e-01 -0.7229283537 -0.3297064887
## a_line[18,2] -3.058406e-01 1.511668e-01 -0.5386758537 -0.0639576639
## a_line[19,1] -4.657212e-01 9.832036e-02 -0.6193663514 -0.3102423800
## a_line[19,2] -5.122690e-01 1.027096e-01 -0.6765967126 -0.3481030599
## a_line[20,1] 6.201775e-01 8.548535e-02 0.4855832098 0.7575977999
## a_line[20,2] 7.354102e-01 8.035978e-02 0.6076840871 0.8672669902
## a_line[21,1] -3.385814e-01 8.476840e-02 -0.4734616899 -0.2014921123
## a_line[21,2] -1.959230e-01 8.501058e-02 -0.3339411375 -0.0617882281
## a_line[22,1] -3.622215e-01 8.466956e-02 -0.4991339409 -0.2244799550
## a_line[22,2] 2.765193e-01 8.060542e-02 0.1418291852 0.4067991334
## a_line[23,1] -5.874942e-01 8.819835e-02 -0.7305168923 -0.4477905654
## a_line[23,2] -5.305108e-03 8.371602e-02 -0.1419984944 0.1250287818
## a_line[24,1] -1.565393e-02 9.255542e-02 -0.1594450580 0.1342900117
## a_line[24,2] -4.984461e-01 8.730606e-02 -0.6404383941 -0.3592335687
## a_line[25,1] 9.406298e-01 9.078229e-02 0.7959883631 1.0848640526
## a_line[25,2] 7.494683e-01 7.826488e-02 0.6230659348 0.8761990790
## a_line[26,1] -3.484323e-01 1.644749e-01 -0.6143293150 -0.0923935133
## a_line[26,2] -2.432619e-01 1.747846e-01 -0.5218400434 0.0351168682
## a_line[27,1] -1.111098e+00 9.509224e-02 -1.2679002440 -0.9574177594
## a_line[27,2] -9.796147e-01 9.034179e-02 -1.1242238248 -0.8441864788
## a_line[28,1] -4.382435e-01 8.560382e-02 -0.5773872062 -0.3042129547
## a_line[28,2] 3.192969e-01 8.201223e-02 0.1852662655 0.4460343370
## a_line[29,1] 3.393159e-02 9.962615e-02 -0.1307972793 0.1888592856
## a_line[29,2] 1.243174e-01 1.125432e-01 -0.0558399476 0.3067052330
## a_line[30,1] -2.781846e-03 8.452446e-02 -0.1414982298 0.1321279537
## a_line[30,2] -5.145883e-01 7.930894e-02 -0.6458595867 -0.3875360214
## a_line[31,1] 3.833072e-01 1.002014e-01 0.2224268646 0.5453756198
## a_line[31,2] 9.935341e-01 8.835248e-02 0.8555538437 1.1308278900
## a_line[32,1] -7.110211e-01 2.861744e-01 -1.1683709123 -0.2562843968
## a_line[32,2] -4.573551e-01 1.957024e-01 -0.7655116922 -0.1331260870
## a_line[33,1] -9.436073e-01 9.310887e-02 -1.0906578694 -0.7965329936
## a_line[33,2] -3.868815e-01 8.791007e-02 -0.5243938972 -0.2459324645
## a_line[34,1] 2.147715e+00 8.573156e-02 2.0138149210 2.2801536560
## a_line[34,2] 1.714744e+00 7.939375e-02 1.5866796356 1.8442670215
## a_line[35,1] 1.882190e+00 8.821721e-02 1.7410761129 2.0165709678
## a_line[35,2] 1.464167e+00 8.153388e-02 1.3338913536 1.5910392303
## a_line[36,1] 1.044048e-01 8.903296e-02 -0.0397223884 0.2449849273
## a_line[36,2] 6.528476e-02 8.009859e-02 -0.0658676814 0.1886219069
## a_line[37,1] 2.870096e-01 8.540929e-02 0.1500497999 0.4204965050
## a_line[37,2] 1.750362e-01 8.025729e-02 0.0456756579 0.3043033996
## a_line[38,1] 1.004786e-01 8.429606e-02 -0.0341091405 0.2346422295
## a_line[38,2] 2.144082e-01 8.060774e-02 0.0819868567 0.3453819774
## a_line[39,1] -5.860205e-01 8.679552e-02 -0.7251329743 -0.4472074227
## a_line[39,2] -3.786600e-01 8.228028e-02 -0.5123482698 -0.2494465319
## a_line[40,1] 3.048754e-01 3.342209e-01 -0.2368701229 0.8367913592
## a_line[40,2] -3.548520e-02 2.789783e-01 -0.4690480448 0.3995711874
## a_line[41,1] 1.487404e+00 9.737278e-02 1.3342351215 1.6448152925
## a_line[41,2] 3.479328e-01 8.834992e-02 0.2078347867 0.4873560098
## a_line[42,1] -1.065979e+00 9.065112e-02 -1.2088297574 -0.9234086256
## a_line[42,2] -2.102590e-01 7.993494e-02 -0.3403002165 -0.0825952685
## a_line[43,1] 1.468218e-01 1.034627e-01 -0.0214514815 0.3060020518
## a_line[43,2] -5.528736e-02 9.867148e-02 -0.2055513408 0.1033397919
## a_line[44,1] -8.614467e-01 1.276489e-01 -1.0667765411 -0.6563475533
## a_line[44,2] -3.942561e-01 1.255714e-01 -0.5859990192 -0.1877825472
## a_line[45,1] -5.367374e-01 1.288264e-01 -0.7398077713 -0.3295383173
## a_line[45,2] -7.500677e-01 1.293300e-01 -0.9533106262 -0.5419673921
## a_line[46,1] -3.293906e-01 1.126913e-01 -0.5112411802 -0.1531035902
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## a_plate[65,2] 3.651482e-03 2.252547e-01 -0.3669537879 0.3609581436
## a_plate[66,1] 6.858525e-03 2.571241e-01 -0.3947349431 0.4039730464
## a_plate[66,2] -1.533253e-01 8.192312e-02 -0.2860194281 -0.0232836196
## a_plate[67,1] 2.673672e-01 7.802941e-02 0.1407866914 0.3896178691
## a_plate[67,2] -2.121760e-03 2.377209e-01 -0.3829654526 0.3813757931
## a_plate[68,1] 1.867968e-03 2.547771e-01 -0.3969426471 0.4067935720
## a_plate[68,2] -1.793935e-01 7.455651e-02 -0.3037760178 -0.0667521597
## a_plate[69,1] 2.784247e-01 8.166254e-02 0.1466517465 0.4073520365
## a_plate[69,2] -4.735742e-03 2.376786e-01 -0.4053828446 0.3817873606
## a_plate[70,1] 5.605188e-04 2.399427e-01 -0.3787506555 0.3804630813
## a_plate[70,2] 2.461452e-02 8.141261e-02 -0.1088161965 0.1512530034
## a_plate[71,1] 9.195751e-02 7.102938e-02 -0.0226481106 0.2065353715
## a_plate[71,2] 6.536712e-04 2.258323e-01 -0.3693575246 0.3541682325
## a_plate[72,1] -4.046772e-03 2.519264e-01 -0.3936351466 0.3884734524
## a_plate[72,2] 4.844421e-02 6.669752e-02 -0.0619237282 0.1555153812
## a_plate[73,1] 1.451122e-02 8.256929e-02 -0.1180435758 0.1457473148
## a_plate[73,2] -1.091456e-03 2.201824e-01 -0.3396594645 0.3509710552
## a_plate[74,1] -4.819745e-03 3.194545e-01 -0.4990455514 0.5030108954
## a_plate[74,2] 4.936878e-01 7.499935e-02 0.3754427127 0.6131226172
## a_plate[75,1] -2.648349e-01 6.740556e-02 -0.3705315294 -0.1548261761
## a_plate[75,2] 4.996576e-03 2.338189e-01 -0.3514085180 0.3891336340
## a_plate[76,1] -7.157725e-03 2.584995e-01 -0.4164858575 0.3965123202
## a_plate[76,2] -4.086145e-02 6.208563e-02 -0.1411077353 0.0567998156
## a_plate[77,1] -4.237932e-01 7.350597e-02 -0.5392982512 -0.3058672765
## a_plate[77,2] 8.171079e-03 2.632437e-01 -0.4058736036 0.4271338561
## a_plate[78,1] -7.336884e-03 2.418742e-01 -0.3957330445 0.3947638637
## a_plate[78,2] 1.335434e-01 7.178738e-02 0.0199831426 0.2461807021
## a_plate[79,1] -3.652165e-01 7.407260e-02 -0.4815857214 -0.2436917640
## a_plate[79,2] 4.048211e-03 2.598734e-01 -0.4130862047 0.4133930859
## a_plate[80,1] 2.850925e-03 2.748891e-01 -0.4384763550 0.4320445322
## a_plate[80,2] -2.165760e-01 6.835197e-02 -0.3284581879 -0.1098031919
## a_plate[81,1] 2.931386e-01 7.682227e-02 0.1694362836 0.4154640163
## a_plate[81,2] -7.368986e-03 2.522637e-01 -0.4092575276 0.3900380169
## a_plate[82,1] 2.469121e-03 2.489774e-01 -0.4007694512 0.3979953400
## a_plate[82,2] 6.760568e-02 7.309137e-02 -0.0513531913 0.1821805897
## a_plate[83,1] -1.015591e-01 7.399102e-02 -0.2191513686 0.0168288453
## a_plate[83,2] 3.814319e-03 2.292600e-01 -0.3616534145 0.3602505856
## a_plate[84,1] -6.939423e-03 2.527914e-01 -0.4168471965 0.3869394028
## a_plate[84,2] 1.531899e-02 6.742430e-02 -0.0941430031 0.1197598056
## a_plate[85,1] -7.658662e-01 7.591834e-02 -0.8868693345 -0.6438048249
## a_plate[85,2] 1.728755e-02 3.292019e-01 -0.4938018269 0.5534974401
## a_plate[86,1] -8.209749e-03 2.517925e-01 -0.4067932640 0.3910432374
## a_plate[86,2] 3.804722e-02 6.855549e-02 -0.0701392293 0.1484330734
## a_plate[87,1] 1.573110e-01 7.444565e-02 0.0434314901 0.2788894898
## a_plate[87,2] -5.395786e-03 2.279771e-01 -0.3715368226 0.3655170691
## a_plate[88,1] 3.761437e-03 2.685115e-01 -0.4200913233 0.4555035804
## a_plate[88,2] -9.572985e-02 7.001322e-02 -0.2066534800 0.0132799825
## a_plate[89,1] 8.302865e-02 8.028574e-02 -0.0451836782 0.2126088768
## a_plate[89,2] -5.114416e-03 2.254422e-01 -0.3618038997 0.3474281509
## a_plate[90,1] 1.196077e-03 2.589371e-01 -0.4134285623 0.3997954860
## a_plate[90,2] 2.025320e-01 7.641609e-02 0.0784908426 0.3227009397
## a_plate[91,1] -2.418375e-01 7.595402e-02 -0.3565886799 -0.1180588602
## a_plate[91,2] 2.647730e-03 2.477698e-01 -0.3777681163 0.4030385153
## a_plate[92,1] -2.633243e-03 2.573022e-01 -0.4244602926 0.4054805114
## a_plate[92,2] -1.911857e-01 6.567264e-02 -0.2961192250 -0.0860472363
## a_plate[93,1] -2.587483e-02 7.534936e-02 -0.1450858890 0.0939242840
## a_plate[93,2] -1.078241e-03 2.200252e-01 -0.3530344167 0.3538622856
## a_plate[94,1] -4.067528e-03 2.856315e-01 -0.4528433851 0.4510781692
## a_plate[94,2] 3.847333e-01 7.084426e-02 0.2675608933 0.4944048219
## a_plate[95,1] 4.842226e-02 7.131754e-02 -0.0681934292 0.1580249190
## a_plate[95,2] 1.093155e-03 2.198286e-01 -0.3615228391 0.3466538980
## a_plate[96,1] 1.616452e-03 2.573734e-01 -0.4185300954 0.4024434158
## a_plate[96,2] -1.079910e-01 6.714303e-02 -0.2195745562 0.0007307617
## a_plate[97,1] -6.407299e-02 8.574067e-02 -0.2035936734 0.0735063812
## a_plate[97,2] -7.980540e-03 2.300815e-01 -0.3680340372 0.3607908716
## a_plate[98,1] -1.071889e-02 2.621742e-01 -0.4332129779 0.4009743003
## a_plate[98,2] 1.617651e-01 8.022529e-02 0.0358682080 0.2925769579
## a_plate[99,1] 2.114839e-01 7.858330e-02 0.0877457638 0.3380183863
## a_plate[99,2] 2.034703e-03 2.329530e-01 -0.3621126467 0.3681146756
## a_plate[100,1] -2.560397e-03 2.622955e-01 -0.4222529692 0.4108133663
## a_plate[100,2] -4.786680e-02 6.864881e-02 -0.1567019265 0.0613947141
## a_plate[101,1] -9.714350e-03 7.646939e-02 -0.1336823535 0.1107676653
## a_plate[101,2] 8.028604e-04 2.299349e-01 -0.3579781873 0.3667225061
## a_plate[102,1] -1.767867e-03 3.045315e-01 -0.4934245104 0.4772143070
## a_plate[102,2] 4.391687e-01 7.423345e-02 0.3225081478 0.5570208479
## a_plate[103,1] 2.617714e-02 6.969142e-02 -0.0853219316 0.1342054872
## a_plate[103,2] -4.504603e-03 2.167396e-01 -0.3561052854 0.3386937271
## a_plate[104,1] 3.191263e-03 2.547006e-01 -0.4113545023 0.4027818704
## a_plate[104,2] -8.719705e-02 6.307960e-02 -0.1850777986 0.0118367445
## a_plate[105,1] 3.304308e-01 7.471949e-02 0.2136162858 0.4507047798
## a_plate[105,2] -2.067920e-05 2.543418e-01 -0.3987828108 0.4143424601
## a_plate[106,1] -6.490876e-03 2.535004e-01 -0.4156302721 0.3933520379
## a_plate[106,2] 1.532210e-01 7.051696e-02 0.0415935619 0.2671757917
## a_plate[107,1] 2.242907e-01 6.922483e-02 0.1123195123 0.3330145835
## a_plate[107,2] -3.752700e-03 2.370160e-01 -0.3938665836 0.3652367315
## a_plate[108,1] -1.425338e-03 2.544004e-01 -0.4128538049 0.4036671356
## a_plate[108,2] 7.396196e-02 6.528368e-02 -0.0292148451 0.1789643834
## a_plate[109,1] 2.979452e-02 7.233155e-02 -0.0874206799 0.1421165857
## a_plate[109,2] -2.736272e-03 2.320323e-01 -0.3807597709 0.3724813352
## a_plate[110,1] 2.050380e-04 2.592669e-01 -0.3954805207 0.4141569016
## a_plate[110,2] 1.049250e-01 7.226597e-02 -0.0091972422 0.2198199043
## a_plate[111,1] 2.486935e-01 7.013189e-02 0.1437290595 0.3625314613
## a_plate[111,2] -5.133106e-03 2.336433e-01 -0.3799954414 0.3600839501
## a_plate[112,1] 9.706666e-04 2.520098e-01 -0.3961797709 0.4106035716
## a_plate[112,2] 6.394244e-02 6.201970e-02 -0.0344039673 0.1604939297
## a_plate[113,1] 2.849186e-01 8.109330e-02 0.1559358191 0.4096775839
## a_plate[113,2] -3.074061e-03 2.399958e-01 -0.3893210247 0.3786583299
## a_plate[114,1] 6.284128e-03 2.576034e-01 -0.3967913702 0.4229452623
## a_plate[114,2] -8.304276e-02 8.576138e-02 -0.2123595959 0.0534313337
## a_plate[115,1] 1.357726e-01 7.522455e-02 0.0172003263 0.2604499266
## a_plate[115,2] -8.259173e-03 2.220963e-01 -0.3697387379 0.3367949683
## a_plate[116,1] -1.544019e-03 2.486020e-01 -0.4030939411 0.3941508480
## a_plate[116,2] 1.289284e-01 7.447003e-02 0.0060999262 0.2403930184
## a_plate[117,1] -1.882855e-01 9.928575e-02 -0.3479497795 -0.0297774360
## a_plate[117,2] 1.200959e-02 2.339870e-01 -0.3706081275 0.3867852675
## a_plate[118,1] 6.021207e-03 2.571777e-01 -0.4075679291 0.4073291457
## a_plate[118,2] 1.596484e-01 8.836341e-02 0.0167607274 0.3036690563
## a_plate[119,1] 4.520260e-01 7.898055e-02 0.3238204198 0.5748771172
## a_plate[119,2] -9.907329e-03 2.654043e-01 -0.4262518259 0.4100517680
## a_plate[120,1] 2.234014e-03 2.569678e-01 -0.4046388466 0.4010664747
## a_plate[120,2] -1.266438e-01 6.964060e-02 -0.2402500408 -0.0155896027
## a_plate[121,1] -1.069593e-01 7.739869e-02 -0.2307047820 0.0184962392
## a_plate[121,2] 9.205623e-03 2.224798e-01 -0.3492140639 0.3696661589
## a_plate[122,1] -8.298033e-03 2.843099e-01 -0.4629198585 0.4369776372
## a_plate[122,2] 3.036532e-01 6.889070e-02 0.1924446356 0.4124492211
## a_plate[123,1] 3.201034e-01 6.722661e-02 0.2130370365 0.4281211217
## a_plate[123,2] -4.702714e-03 2.389303e-01 -0.3986304896 0.3705909403
## a_plate[124,1] 1.780822e-03 2.548451e-01 -0.3949974352 0.4187870632
## a_plate[124,2] -1.784252e-01 6.142181e-02 -0.2742227031 -0.0824703853
## a_plate[125,1] -2.064248e-01 7.588191e-02 -0.3281250879 -0.0863092262
## a_plate[125,2] 5.626827e-03 2.280883e-01 -0.3555671892 0.3711284622
## a_plate[126,1] 4.097743e-03 2.609240e-01 -0.4012990171 0.4314809430
## a_plate[126,2] -1.666161e-01 6.822488e-02 -0.2744619465 -0.0582647768
## a_plate[127,1] 1.082978e-01 7.708866e-02 -0.0147509265 0.2314183320
## a_plate[127,2] 5.051870e-03 2.208934e-01 -0.3487721708 0.3612470247
## a_plate[128,1] 3.961953e-03 2.610079e-01 -0.4072748509 0.4184040253
## a_plate[128,2] 2.193041e-01 7.336471e-02 0.1031971712 0.3339163421
## a_plate[129,1] -3.095685e-01 7.159150e-02 -0.4221984579 -0.1983642271
## a_plate[129,2] 3.663198e-03 2.478335e-01 -0.3771034877 0.4085438441
## a_plate[130,1] 7.172963e-03 2.887030e-01 -0.4778993795 0.4483222658
## a_plate[130,2] -3.546659e-01 7.072305e-02 -0.4679294180 -0.2437086710
## a_plate[131,1] -3.621964e-01 7.432528e-02 -0.4739200879 -0.2444302687
## a_plate[131,2] 8.396099e-03 2.483532e-01 -0.3875373590 0.3948246420
## a_plate[132,1] 4.825865e-03 2.811330e-01 -0.4255210715 0.4506949166
## a_plate[132,2] -2.780882e-01 6.813722e-02 -0.3919429405 -0.1728092571
## a_plate[133,1] 5.758955e-02 8.332166e-02 -0.0729899930 0.1941291706
## a_plate[133,2] 3.057384e-04 2.272208e-01 -0.3532042404 0.3706491454
## a_plate[134,1] -4.078808e-03 2.475050e-01 -0.4016263927 0.3978560731
## a_plate[134,2] -2.187196e-02 8.038840e-02 -0.1479346972 0.1066239145
## a_plate[135,1] -1.732853e-01 7.787736e-02 -0.2960776925 -0.0497153898
## a_plate[135,2] 3.658951e-03 2.261739e-01 -0.3550969063 0.3608873445
## a_plate[136,1] 6.873265e-03 2.565684e-01 -0.3893878533 0.4169851215
## a_plate[136,2] -9.201688e-02 7.478652e-02 -0.2142781341 0.0253283004
## a_plate[137,1] 2.215031e-01 9.493798e-02 0.0709220401 0.3739735086
## a_plate[137,2] 4.140915e-03 2.361653e-01 -0.3820105635 0.3825951772
## a_plate[138,1] 6.978614e-03 2.731901e-01 -0.4314992709 0.4456208455
## a_plate[138,2] -2.373845e-01 9.275450e-02 -0.3878124587 -0.0914523152
## a_plate[139,1] 3.755182e-01 7.309137e-02 0.2593264674 0.4897465081
## a_plate[139,2] -7.322522e-03 2.556182e-01 -0.4248059388 0.3918932305
## a_plate[140,1] 2.531203e-03 2.655820e-01 -0.4261557171 0.4371220496
## a_plate[140,2] 2.309512e-01 7.280813e-02 0.1183888297 0.3497212227
## a_plate[141,1] 5.293900e-01 7.269540e-02 0.4163754812 0.6493813044
## a_plate[141,2] -6.915372e-03 2.852610e-01 -0.4465861454 0.4522239025
## a_plate[142,1] -6.996715e-03 2.528833e-01 -0.4074965730 0.3943261284
## a_plate[142,2] 1.090434e-01 6.797902e-02 -0.0007907303 0.2164785249
## a_plate[143,1] -4.057817e-01 8.527528e-02 -0.5406799777 -0.2679732180
## a_plate[143,2] 3.743941e-03 2.646804e-01 -0.3977042263 0.4275043983
## a_plate[144,1] -3.973200e-03 2.686732e-01 -0.4311714429 0.4318223592
## a_plate[144,2] 2.475591e-01 7.545177e-02 0.1245355964 0.3682680444
## a_plate[145,1] 1.385232e-01 6.525768e-02 0.0343130699 0.2440504849
## a_plate[145,2] 1.629927e-03 2.263017e-01 -0.3637986601 0.3533952370
## a_plate[146,1] 2.735467e-03 2.532666e-01 -0.4036269427 0.4060840943
## a_plate[146,2] -5.824458e-02 6.298389e-02 -0.1583669917 0.0414649205
## a_plate[147,1] 4.312578e-02 6.886491e-02 -0.0667941252 0.1520933198
## a_plate[147,2] -9.182603e-05 2.290415e-01 -0.3780024995 0.3542273920
## a_plate[148,1] 7.249688e-04 2.838123e-01 -0.4529462279 0.4558425201
## a_plate[148,2] 3.382274e-01 6.245752e-02 0.2398169948 0.4358345241
## a_plate[149,1] -5.544228e-02 7.690091e-02 -0.1787920307 0.0669659270
## a_plate[149,2] 1.592478e-03 2.203233e-01 -0.3549879537 0.3506527954
## a_plate[150,1] 6.610110e-03 2.654843e-01 -0.4054750534 0.4217151363
## a_plate[150,2] -2.538415e-01 7.307433e-02 -0.3722991522 -0.1380041232
## a_plate[151,1] -2.586737e-01 7.508444e-02 -0.3781674507 -0.1386910219
## a_plate[151,2] 7.642594e-03 2.436177e-01 -0.3711543987 0.3956792875
## a_plate[152,1] -3.218183e-03 2.484576e-01 -0.3925414354 0.3925713777
## a_plate[152,2] 1.317649e-02 6.801527e-02 -0.0964003062 0.1223913217
## a_exp[1,1] -3.024984e-01 4.261653e-01 -1.0271337939 0.2815322365
## a_exp[1,2] 2.459483e-02 1.936242e-01 -0.2085205128 0.3245083825
## a_exp[2,1] 1.311831e-01 4.258745e-01 -0.6130108965 0.7045065995
## a_exp[2,2] -4.831372e-03 1.933949e-01 -0.2537585142 0.2785039926
## g[1] -4.292165e-01 4.232557e-01 -1.0101013990 0.2974969996
## g[2] 3.397499e-01 2.022079e-01 0.0517982329 0.5880872143
## sigma_line[1] 7.374549e-01 4.054547e-02 0.6756478292 0.8033625292
## sigma_line[2] 5.599699e-01 3.096535e-02 0.5129514725 0.6116231663
## Rho_line[1,1] 1.000000e+00 0.000000e+00 1.0000000000 1.0000000000
## Rho_line[1,2] 8.311172e-01 2.680775e-02 0.7852309724 0.8699324088
## Rho_line[2,1] 8.311172e-01 2.680775e-02 0.7852309724 0.8699324088
## Rho_line[2,2] 1.000000e+00 0.000000e+00 1.0000000000 1.0000000000
## sigma_plate[1] 2.649957e-01 2.347363e-02 0.2307780542 0.3055916593
## sigma_plate[2] 2.371913e-01 2.103941e-02 0.2051120913 0.2729612151
## Rho_plate[1,1] 1.000000e+00 0.000000e+00 1.0000000000 1.0000000000
## Rho_plate[1,2] -1.374001e-02 3.511363e-01 -0.5382907892 0.5746882632
## Rho_plate[2,1] -1.374001e-02 3.511363e-01 -0.5382907892 0.5746882632
## Rho_plate[2,2] 1.000000e+00 8.782790e-17 1.0000000000 1.0000000000
## sigma_exp[1] 6.651471e-01 5.415923e-01 0.1789044752 1.7035886452
## sigma_exp[2] 2.249002e-01 3.306629e-01 0.0066381355 0.7685950850
## Rho_exp[1,1] 1.000000e+00 0.000000e+00 1.0000000000 1.0000000000
## Rho_exp[1,2] -2.319336e-02 3.364362e-01 -0.5519877726 0.5298733917
## Rho_exp[2,1] -2.319336e-02 3.364362e-01 -0.5519877726 0.5298733917
## Rho_exp[2,2] 1.000000e+00 9.001223e-17 1.0000000000 1.0000000000
## sigma 5.796541e-01 3.031436e-03 0.5748811547 0.5844909517
## n_eff Rhat4
## a_line[1,1] 185.10245 1.0126818
## a_line[1,2] 270.00603 1.0046846
## a_line[2,1] 198.15367 1.0159965
## a_line[2,2] 413.59665 1.0026727
## a_line[3,1] 556.20724 1.0021917
## a_line[3,2] 533.85542 1.0042652
## a_line[4,1] 260.54163 1.0106390
## a_line[4,2] 509.39530 1.0037301
## a_line[5,1] 182.31862 1.0140403
## a_line[5,2] 340.58157 1.0019732
## a_line[6,1] 186.14378 1.0102458
## a_line[6,2] 266.53514 1.0038792
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## a_plate[28,2] 778.22817 1.0036905
## a_plate[29,1] 593.75355 1.0025769
## a_plate[29,2] 2672.31166 0.9989612
## a_plate[30,1] 145.33102 1.0273979
## a_plate[30,2] 875.55465 0.9984862
## a_plate[31,1] 289.03322 1.0043623
## a_plate[31,2] 1297.69960 1.0021905
## a_plate[32,1] 2395.04883 1.0015848
## a_plate[32,2] 534.42994 1.0086765
## a_plate[33,1] 530.28104 1.0055406
## a_plate[33,2] 1178.46130 1.0055470
## a_plate[34,1] 1654.85805 1.0025394
## a_plate[34,2] 638.12343 1.0002201
## a_plate[35,1] 313.39101 1.0069894
## a_plate[35,2] 263.38402 1.0188111
## a_plate[36,1] 970.06607 1.0026254
## a_plate[36,2] 786.06154 1.0073736
## a_plate[37,1] 529.32500 1.0029627
## a_plate[37,2] 2259.92540 0.9992474
## a_plate[38,1] 748.85545 1.0051603
## a_plate[38,2] 737.13519 1.0000362
## a_plate[39,1] 368.83210 1.0043531
## a_plate[39,2] 1779.26934 1.0007321
## a_plate[40,1] 343.79284 1.0092360
## a_plate[40,2] 729.40687 1.0026339
## a_plate[41,1] 596.19274 1.0019862
## a_plate[41,2] 450.04923 1.0080993
## a_plate[42,1] 1012.40353 1.0010620
## a_plate[42,2] 992.51491 0.9993588
## a_plate[43,1] 315.86552 1.0020210
## a_plate[43,2] 591.13112 1.0061670
## a_plate[44,1] 1613.59739 1.0052427
## a_plate[44,2] 822.74447 1.0067892
## a_plate[45,1] 566.06328 1.0018702
## a_plate[45,2] 2276.84860 1.0019332
## a_plate[46,1] 3042.82929 1.0006255
## a_plate[46,2] 820.21154 0.9991709
## a_plate[47,1] 265.25916 1.0101297
## a_plate[47,2] 2946.26236 0.9989686
## a_plate[48,1] 2819.97451 0.9995916
## a_plate[48,2] 644.52503 1.0056068
## a_plate[49,1] 532.42168 1.0016252
## a_plate[49,2] 654.59723 1.0053965
## a_plate[50,1] 2410.52969 0.9991447
## a_plate[50,2] 732.68899 0.9995538
## a_plate[51,1] 345.52649 1.0036255
## a_plate[51,2] 2317.35142 0.9992122
## a_plate[52,1] 2067.73036 1.0009664
## a_plate[52,2] 939.44242 1.0035589
## a_plate[53,1] 546.63717 1.0046974
## a_plate[53,2] 446.59861 1.0099232
## a_plate[54,1] 675.05450 1.0051514
## a_plate[54,2] 882.29382 0.9994044
## a_plate[55,1] 348.37088 1.0078436
## a_plate[55,2] 1593.13257 1.0008677
## a_plate[56,1] 2793.82401 1.0003809
## a_plate[56,2] 937.58188 1.0033442
## a_plate[57,1] 612.29768 1.0063072
## a_plate[57,2] 1470.23300 1.0027633
## a_plate[58,1] 2527.94659 1.0001951
## a_plate[58,2] 936.94188 1.0005251
## a_plate[59,1] 347.31957 1.0016911
## a_plate[59,2] 2471.64419 0.9986399
## a_plate[60,1] 3392.24850 0.9989727
## a_plate[60,2] 651.71185 1.0125350
## a_plate[61,1] 553.56808 1.0024877
## a_plate[61,2] 526.52239 1.0102412
## a_plate[62,1] 2456.63864 0.9990503
## a_plate[62,2] 747.55199 1.0023824
## a_plate[63,1] 317.66232 1.0039458
## a_plate[63,2] 671.48423 1.0047625
## a_plate[64,1] 1748.91667 1.0040853
## a_plate[64,2] 950.29949 1.0059566
## a_plate[65,1] 628.65106 1.0022238
## a_plate[65,2] 2217.20199 0.9995873
## a_plate[66,1] 1432.49435 1.0038650
## a_plate[66,2] 807.14570 0.9989888
## a_plate[67,1] 310.09523 1.0051666
## a_plate[67,2] 526.33536 1.0089006
## a_plate[68,1] 1036.50801 1.0007853
## a_plate[68,2] 740.76114 1.0030518
## a_plate[69,1] 638.40210 1.0043892
## a_plate[69,2] 529.57404 1.0148137
## a_plate[70,1] 2309.41998 0.9988320
## a_plate[70,2] 992.57828 1.0002715
## a_plate[71,1] 284.20109 1.0063343
## a_plate[71,2] 2192.96284 0.9998714
## a_plate[72,1] 4232.98157 0.9988038
## a_plate[72,2] 788.09727 1.0044891
## a_plate[73,1] 724.45345 1.0003898
## a_plate[73,2] 2972.45707 0.9992508
## a_plate[74,1] 191.71521 1.0162531
## a_plate[74,2] 867.52487 1.0017269
## a_plate[75,1] 254.94737 1.0053929
## a_plate[75,2] 726.95078 1.0044519
## a_plate[76,1] 2780.20553 0.9987524
## a_plate[76,2] 614.15728 1.0090419
## a_plate[77,1] 476.33196 1.0054314
## a_plate[77,2] 219.32282 1.0189633
## a_plate[78,1] 1656.49096 1.0008977
## a_plate[78,2] 646.50663 0.9999113
## a_plate[79,1] 314.69469 1.0054615
## a_plate[79,2] 307.44956 1.0153757
## a_plate[80,1] 635.11174 1.0090533
## a_plate[80,2] 750.82418 1.0069100
## a_plate[81,1] 586.95022 1.0036630
## a_plate[81,2] 499.13256 1.0083833
## a_plate[82,1] 2413.58521 1.0004712
## a_plate[82,2] 728.84438 1.0005092
## a_plate[83,1] 316.35502 1.0052039
## a_plate[83,2] 2283.79791 0.9998940
## a_plate[84,1] 3135.95669 0.9992465
## a_plate[84,2] 757.12167 1.0036542
## a_plate[85,1] 543.38965 1.0033470
## a_plate[85,2] 143.34858 1.0306434
## a_plate[86,1] 2478.33396 0.9989154
## a_plate[86,2] 702.20779 1.0003956
## a_plate[87,1] 309.69402 1.0066025
## a_plate[87,2] 1454.00979 1.0005625
## a_plate[88,1] 2294.51709 1.0000917
## a_plate[88,2] 907.70889 1.0038464
## a_plate[89,1] 571.32853 1.0024901
## a_plate[89,2] 2311.93997 0.9999636
## a_plate[90,1] 968.92280 1.0038303
## a_plate[90,2] 741.05754 0.9994869
## a_plate[91,1] 311.75566 1.0031573
## a_plate[91,2] 639.93733 1.0045539
## a_plate[92,1] 1024.87534 1.0041659
## a_plate[92,2] 772.09216 1.0038556
## a_plate[93,1] 532.23744 1.0024514
## a_plate[93,2] 2139.78872 1.0002603
## a_plate[94,1] 230.53909 1.0161360
## a_plate[94,2] 782.10164 0.9988836
## a_plate[95,1] 291.00661 1.0048385
## a_plate[95,2] 2793.80538 0.9994245
## a_plate[96,1] 2517.03642 1.0001512
## a_plate[96,2] 684.41004 1.0085619
## a_plate[97,1] 701.98766 1.0006823
## a_plate[97,2] 2670.18808 1.0010526
## a_plate[98,1] 1547.05053 1.0006719
## a_plate[98,2] 869.94778 1.0007903
## a_plate[99,1] 307.57102 1.0039986
## a_plate[99,2] 933.88369 1.0021027
## a_plate[100,1] 2460.37600 0.9997486
## a_plate[100,2] 735.20456 1.0055463
## a_plate[101,1] 582.19658 1.0045232
## a_plate[101,2] 2221.21161 0.9986563
## a_plate[102,1] 243.60178 1.0140390
## a_plate[102,2] 895.91741 0.9993612
## a_plate[103,1] 222.82893 1.0094233
## a_plate[103,2] 2421.66332 0.9997669
## a_plate[104,1] 2883.73349 0.9997116
## a_plate[104,2] 635.56231 1.0087994
## a_plate[105,1] 608.87242 1.0023943
## a_plate[105,2] 424.78139 1.0130275
## a_plate[106,1] 1540.93767 1.0028006
## a_plate[106,2] 739.16832 1.0007238
## a_plate[107,1] 294.70504 1.0014393
## a_plate[107,2] 1106.97166 1.0039192
## a_plate[108,1] 2541.10280 0.9998072
## a_plate[108,2] 491.47276 1.0102988
## a_plate[109,1] 414.77854 1.0053845
## a_plate[109,2] 2429.87754 0.9997257
## a_plate[110,1] 1820.63510 1.0007417
## a_plate[110,2] 747.67766 0.9992873
## a_plate[111,1] 263.78289 1.0063363
## a_plate[111,2] 649.81989 1.0072425
## a_plate[112,1] 2513.24589 0.9996498
## a_plate[112,2] 656.82223 1.0111137
## a_plate[113,1] 624.78039 1.0006624
## a_plate[113,2] 444.73433 1.0107144
## a_plate[114,1] 1696.76928 1.0019375
## a_plate[114,2] 957.74566 1.0001046
## a_plate[115,1] 283.67462 1.0061384
## a_plate[115,2] 1713.51570 1.0033442
## a_plate[116,1] 1509.38402 1.0016920
## a_plate[116,2] 712.03491 1.0040656
## a_plate[117,1] 1059.34823 1.0004037
## a_plate[117,2] 1326.31209 1.0012316
## a_plate[118,1] 1168.96155 1.0020249
## a_plate[118,2] 1199.11381 0.9994620
## a_plate[119,1] 386.63817 1.0024482
## a_plate[119,2] 254.96294 1.0201491
## a_plate[120,1] 1714.97773 0.9993628
## a_plate[120,2] 807.67060 1.0068254
## a_plate[121,1] 594.28833 1.0021271
## a_plate[121,2] 2368.46507 0.9995176
## a_plate[122,1] 504.47780 1.0039962
## a_plate[122,2] 778.11856 0.9991671
## a_plate[123,1] 247.98735 1.0076484
## a_plate[123,2] 482.25372 1.0113294
## a_plate[124,1] 888.71530 1.0055397
## a_plate[124,2] 724.74601 1.0102835
## a_plate[125,1] 537.60279 1.0025115
## a_plate[125,2] 860.40988 1.0042394
## a_plate[126,1] 1059.61184 1.0013377
## a_plate[126,2] 734.92601 0.9988386
## a_plate[127,1] 335.74577 1.0025656
## a_plate[127,2] 2182.81749 1.0035074
## a_plate[128,1] 784.02894 1.0047118
## a_plate[128,2] 782.21934 1.0030999
## a_plate[129,1] 553.27961 1.0052622
## a_plate[129,2] 421.04711 1.0103528
## a_plate[130,1] 320.74049 1.0115440
## a_plate[130,2] 843.01743 0.9997136
## a_plate[131,1] 295.51110 1.0072765
## a_plate[131,2] 297.90121 1.0136628
## a_plate[132,1] 476.98806 1.0058949
## a_plate[132,2] 697.43690 1.0053769
## a_plate[133,1] 514.12891 1.0044064
## a_plate[133,2] 2472.56870 0.9998655
## a_plate[134,1] 2737.09009 0.9993030
## a_plate[134,2] 902.41805 1.0004818
## a_plate[135,1] 357.12717 1.0101625
## a_plate[135,2] 1038.33180 1.0024540
## a_plate[136,1] 2528.51318 1.0026296
## a_plate[136,2] 999.28200 1.0022082
## a_plate[137,1] 724.32496 1.0032232
## a_plate[137,2] 736.28957 1.0091461
## a_plate[138,1] 652.45281 1.0038018
## a_plate[138,2] 822.98843 1.0000044
## a_plate[139,1] 323.31280 1.0047191
## a_plate[139,2] 365.81361 1.0105454
## a_plate[140,1] 654.95843 1.0070335
## a_plate[140,2] 787.65620 1.0045184
## a_plate[141,1] 546.87890 1.0016006
## a_plate[141,2] 202.27578 1.0186185
## a_plate[142,1] 1568.31737 1.0005536
## a_plate[142,2] 780.83668 1.0002896
## a_plate[143,1] 378.82091 1.0051989
## a_plate[143,2] 296.33184 1.0154121
## a_plate[144,1] 538.93218 1.0085982
## a_plate[144,2] 839.69709 1.0058344
## a_plate[145,1] 423.08955 1.0054385
## a_plate[145,2] 1358.60216 1.0035568
## a_plate[146,1] 2839.89994 0.9993697
## a_plate[146,2] 594.26038 0.9987917
## a_plate[147,1] 274.08589 1.0046565
## a_plate[147,2] 2867.14638 0.9999683
## a_plate[148,1] 353.72131 1.0104984
## a_plate[148,2] 660.84797 1.0065086
## a_plate[149,1] 492.93696 1.0044351
## a_plate[149,2] 2954.88300 1.0010209
## a_plate[150,1] 566.82171 1.0084522
## a_plate[150,2] 601.19095 1.0017201
## a_plate[151,1] 322.79391 1.0046864
## a_plate[151,2] 590.15890 1.0055042
## a_plate[152,1] 3213.64309 1.0002721
## a_plate[152,2] 687.40415 1.0126027
## a_exp[1,1] 329.68996 1.0038859
## a_exp[1,2] 680.67135 1.0061189
## a_exp[2,1] 331.40261 1.0045172
## a_exp[2,2] 688.49394 1.0067712
## g[1] 337.36805 1.0044482
## g[2] 521.80297 1.0034599
## sigma_line[1] 1291.89728 1.0017404
## sigma_line[2] 1402.94284 0.9982850
## Rho_line[1,1] NaN NaN
## Rho_line[1,2] 1258.55485 0.9990129
## Rho_line[2,1] 1258.55485 0.9990129
## Rho_line[2,2] NaN NaN
## sigma_plate[1] 818.65800 1.0004668
## sigma_plate[2] 751.53561 0.9997153
## Rho_plate[1,1] NaN NaN
## Rho_plate[1,2] 70.70726 1.0585314
## Rho_plate[2,1] 70.70726 1.0585314
## Rho_plate[2,2] 2001.84319 0.9979980
## sigma_exp[1] 980.35529 1.0058808
## sigma_exp[2] 508.51544 1.0011598
## Rho_exp[1,1] NaN NaN
## Rho_exp[1,2] 2523.87470 0.9986275
## Rho_exp[2,1] 2523.87470 0.9986275
## Rho_exp[2,2] 1995.82381 0.9979980
## sigma 5758.51804 0.9986386Rhat generally fine
As 3, but non-centered
m5.1 <- ulam(
alist(
L ~ dnorm(mu,sigma),
mu <- g[S]+a_line[A,S]+a_plate[P,S]+a_exp[E,S], #average treatment effect, three cluster types: accession, plate, experiment, different varying effects in different cluster types
# adaptive priors - non-centered
transpars> matrix[A,2]:a_line <-
compose_noncentered(sigma_line,L_Rho_line,z_line),
transpars> matrix[P,2]:a_plate <-
compose_noncentered(sigma_plate,L_Rho_plate,z_plate),
transpars> matrix[E,2]:a_exp <-
compose_noncentered(sigma_exp,L_Rho_exp,z_exp),
matrix[2,A]:z_line ~ normal(0,1), #not 2?
matrix[2,P]:z_plate ~ normal(0,1),
matrix[2,E]:z_exp ~ normal(0,1),
# fixed priors
g[S] ~ dnorm(0,1),
sigma ~ dexp(1),
vector[2]:sigma_line ~ dexp(1),
cholesky_factor_corr[2]:L_Rho_line ~ lkj_corr_cholesky(2),
vector[2]:sigma_plate ~ dexp(1),
cholesky_factor_corr[2]:L_Rho_plate ~ lkj_corr_cholesky(2),
vector[2]:sigma_exp ~ dexp(1),
cholesky_factor_corr[2]:L_Rho_exp ~ lkj_corr_cholesky(2),
# compute ordinary correlation matrixes from Cholesky factors
gq> matrix[2,2]:Rho_line <<- multiply_lower_tri_self_transpose(L_Rho_line),
gq> matrix[2,2]:Rho_plate <<- multiply_lower_tri_self_transpose(L_Rho_plate),
gq> matrix[2,2]:Rho_exp <<- multiply_lower_tri_self_transpose(L_Rho_exp)
),data = d, chains = 4,cores = 4,log_lik = TRUE) #control = list(adapt_delta=0.99,control = list(max_treedepth=15),iter=4000) can add try again## Warning: There were 29 divergent transitions after warmup. Increasing adapt_delta above 0.95 may help. See
## http://mc-stan.org/misc/warnings.html#divergent-transitions-after-warmup## Warning: There were 1533 transitions after warmup that exceeded the maximum treedepth. Increase max_treedepth above 10. See
## http://mc-stan.org/misc/warnings.html#maximum-treedepth-exceeded## Warning: Examine the pairs() plot to diagnose sampling problems## Warning: The largest R-hat is NA, indicating chains have not mixed.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#r-hat## Warning: Bulk Effective Samples Size (ESS) is too low, indicating posterior means and medians may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#bulk-ess## Warning: Tail Effective Samples Size (ESS) is too low, indicating posterior variances and tail quantiles may be unreliable.
## Running the chains for more iterations may help. See
## http://mc-stan.org/misc/warnings.html#tail-essmore divergent transitions compared to the centered model ?
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precis(m5.1,depth = 3)## mean sd 5.5% 94.5%
## z_line[1,1] -0.0347063387 1.350658e-01 -0.247501639 0.1866978063
## z_line[1,2] -0.5030487724 1.273536e-01 -0.710875287 -0.3006107796
## z_line[1,3] -0.0733541479 2.050917e-01 -0.395648584 0.2583285841
## z_line[1,4] 2.8207780855 2.073984e-01 2.485328115 3.1522920653
## z_line[1,5] 1.3054362572 1.487669e-01 1.071903139 1.5514669933
## z_line[1,6] 0.3974196761 1.275949e-01 0.190093674 0.5952163754
## z_line[1,7] -0.8000588368 1.496031e-01 -1.029057045 -0.5564737248
## z_line[1,8] -0.9949433469 1.831476e-01 -1.281389752 -0.7023178292
## z_line[1,9] -0.6196958045 2.935415e-01 -1.081376909 -0.1552358077
## z_line[1,10] -0.3648039588 3.452411e-01 -0.910000018 0.1825083649
## z_line[1,11] -1.6849643129 1.566414e-01 -1.938382363 -1.4393092376
## z_line[1,12] -0.8308518371 1.542350e-01 -1.083660114 -0.5912722052
## z_line[1,13] -0.3133158002 1.221190e-01 -0.511176179 -0.1219363913
## z_line[1,14] 0.2629539100 1.490557e-01 0.029638876 0.4967349675
## z_line[1,15] -0.0836497195 1.513167e-01 -0.322963600 0.1651778043
## z_line[1,16] -0.7747792997 1.424250e-01 -1.002139600 -0.5451008329
## z_line[1,17] 0.1547798976 1.413911e-01 -0.067622643 0.3825966352
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## z_plate[1,77] -1.6006458769 3.119338e-01 -2.106184661 -1.1150315017
## z_plate[1,78] 0.0953215361 9.493378e-01 -1.494284202 1.5522011654
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## z_plate[1,81] 1.1400443771 3.023912e-01 0.665408999 1.6251176626
## z_plate[1,82] 0.0731941449 9.581357e-01 -1.357550924 1.5887128147
## z_plate[1,83] -0.4117923550 2.844879e-01 -0.881408787 0.0377680631
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## z_plate[1,85] -2.9093288840 3.537687e-01 -3.480451812 -2.3567975800
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## z_plate[1,88] -0.0850328755 9.272866e-01 -1.577601547 1.4475345715
## z_plate[1,89] 0.3347449517 3.273456e-01 -0.188693442 0.8627158596
## z_plate[1,90] 0.1554189395 9.840076e-01 -1.464858728 1.7023815264
## z_plate[1,91] -0.9339043835 2.966268e-01 -1.403797077 -0.4576084895
## z_plate[1,92] -0.1281747570 9.464554e-01 -1.592350983 1.3876855861
## z_plate[1,93] -0.0831149210 2.993580e-01 -0.555789121 0.4042578639
## z_plate[1,94] 0.2652427803 1.130190e+00 -1.586339240 1.9977695932
## z_plate[1,95] 0.1754666281 2.701823e-01 -0.256571937 0.6074460345
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## z_plate[1,99] 0.7961069811 2.953863e-01 0.323979009 1.2802753988
## z_plate[1,100] -0.0109828727 9.417100e-01 -1.506582059 1.4655505266
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## z_plate[1,105] 1.2805110136 2.929350e-01 0.821510383 1.7637393927
## z_plate[1,106] 0.1090405792 9.350625e-01 -1.388930626 1.5613809973
## z_plate[1,107] 0.8497746836 2.675564e-01 0.434012997 1.2929098504
## z_plate[1,108] 0.0345683485 9.304602e-01 -1.491630866 1.4909000597
## z_plate[1,109] 0.1340522792 2.922724e-01 -0.317307422 0.6079995995
## z_plate[1,110] 0.0697464800 8.743420e-01 -1.363741869 1.4426365794
## z_plate[1,111] 0.9365496430 2.655979e-01 0.527653411 1.3562159777
## z_plate[1,112] 0.0364663799 9.168980e-01 -1.484757319 1.4951456634
## z_plate[1,113] 1.1166020076 3.200749e-01 0.631608930 1.6314693626
## z_plate[1,114] -0.0459265815 9.103979e-01 -1.515476175 1.4341091764
## z_plate[1,115] 0.4949839782 2.856820e-01 0.035829383 0.9454380360
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## z_plate[1,118] 0.1049766592 9.139911e-01 -1.414600667 1.5584192580
## z_plate[1,119] 1.7126338763 3.319353e-01 1.194716490 2.2561172519
## z_plate[1,120] -0.1002695473 9.317835e-01 -1.561174842 1.3515943748
## z_plate[1,121] -0.3827937470 2.962645e-01 -0.850481682 0.0743392141
## z_plate[1,122] 0.1994938485 1.054557e+00 -1.541008563 1.8043154096
## z_plate[1,123] 1.2108924164 2.685859e-01 0.789407186 1.6565239977
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## z_plate[1,125] -0.7772319188 2.883019e-01 -1.235269650 -0.3229479867
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## z_plate[1,127] 0.4046655535 2.891882e-01 -0.057643109 0.8605013524
## z_plate[1,128] 0.1434998750 1.023202e+00 -1.575247459 1.7568066666
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## z_plate[1,137] 0.8723221192 3.682438e-01 0.294742382 1.4576831274
## z_plate[1,138] -0.1630741069 9.932239e-01 -1.737598913 1.4224589975
## z_plate[1,139] 1.4236735728 3.046292e-01 0.940743745 1.9136285463
## z_plate[1,140] 0.1725115754 9.872567e-01 -1.476637499 1.7291412135
## z_plate[1,141] 2.0517412479 3.268698e-01 1.545986555 2.5875132680
## z_plate[1,142] 0.1121313452 9.412268e-01 -1.480595729 1.6079516877
## z_plate[1,143] -1.5736563865 3.378692e-01 -2.119758451 -1.0374696545
## z_plate[1,144] 0.1945595061 9.888185e-01 -1.429261188 1.7467552682
## z_plate[1,145] 0.5509056483 2.560199e-01 0.150601057 0.9625243999
## z_plate[1,146] -0.0442789348 8.818221e-01 -1.438784654 1.3690275703
## z_plate[1,147] 0.1494166611 2.672023e-01 -0.284445716 0.5680291104
## z_plate[1,148] 0.2076787772 1.089785e+00 -1.590953772 1.8838433122
## z_plate[1,149] -0.1924011921 2.937770e-01 -0.663858314 0.2778664636
## z_plate[1,150] -0.1705834412 9.840882e-01 -1.709289813 1.4675581124
## z_plate[1,151] -0.9996172189 2.873880e-01 -1.472035506 -0.5542071538
## z_plate[1,152] 0.0197925257 9.160223e-01 -1.477047972 1.4679833509
## z_plate[2,1] 0.0015677786 1.015945e+00 -1.638411326 1.5713764572
## z_plate[2,2] -2.2504017077 6.375331e-01 -3.112038609 -1.0781589521
## z_plate[2,3] 0.0050251023 1.028703e+00 -1.589156387 1.6604764166
## z_plate[2,4] 0.0650834132 4.900185e-01 -0.670298507 0.8459753205
## z_plate[2,5] -0.0081805611 9.616012e-01 -1.565774114 1.5371857578
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## z_plate[2,7] 0.0003578312 9.787410e-01 -1.538756459 1.5935792975
## z_plate[2,8] 0.2224993895 5.259473e-01 -0.573266837 1.0166241599
## z_plate[2,9] 0.0239312566 1.015309e+00 -1.646945243 1.6826852008
## z_plate[2,10] 0.3160070785 5.282133e-01 -0.508945615 1.1174363387
## z_plate[2,11] -0.0025475537 9.623368e-01 -1.504381874 1.5647211364
## z_plate[2,12] 0.3453428103 4.910273e-01 -0.452145727 1.1033141651
## z_plate[2,13] 0.0326995769 1.046137e+00 -1.661431716 1.7006864127
## z_plate[2,14] 1.5504307192 5.764316e-01 0.516708814 2.3412903283
## z_plate[2,15] -0.0011114307 1.019211e+00 -1.666195255 1.6127052667
## z_plate[2,16] -0.4891294192 4.960053e-01 -1.231859660 0.2695515482
## z_plate[2,17] 0.0292638389 1.024850e+00 -1.587182736 1.6755343143
## z_plate[2,18] 0.6319205247 5.277764e-01 -0.274272018 1.4103876232
## z_plate[2,19] -0.0064183823 9.605178e-01 -1.591431433 1.4930278496
## z_plate[2,20] -0.1186960348 5.404841e-01 -0.927831632 0.7645274277
## z_plate[2,21] -0.0012910779 9.949827e-01 -1.600403668 1.5791096799
## z_plate[2,22] -2.9541340295 7.045315e-01 -3.872448252 -1.6345275512
## z_plate[2,23] 0.0202439498 1.029356e+00 -1.656592704 1.6653964065
## z_plate[2,24] -0.1244569947 4.770997e-01 -0.850220858 0.6200811420
## z_plate[2,25] 0.0097319293 1.025217e+00 -1.602916146 1.6593936140
## z_plate[2,26] -0.0359366753 5.325679e-01 -0.868837385 0.8102402036
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## z_plate[2,30] -2.3864806030 6.487715e-01 -3.298172565 -1.2547977762
## z_plate[2,31] 0.0167032686 1.011482e+00 -1.611891517 1.5564995549
## z_plate[2,32] 0.3000107859 4.949921e-01 -0.556578461 1.0477997341
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## z_plate[2,34] 0.3620467958 5.144136e-01 -0.452440849 1.1321271830
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## z_plate[2,36] -0.6741658016 4.925746e-01 -1.391599444 0.1582963221
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## z_plate[2,38] 0.7905794744 5.570254e-01 -0.137124205 1.5990901579
## z_plate[2,39] -0.0131834884 1.011124e+00 -1.629459225 1.5824680629
## z_plate[2,40] 1.3323406294 5.824966e-01 0.339653340 2.1364182852
## z_plate[2,41] 0.0250916883 1.002232e+00 -1.564752540 1.5344585527
## z_plate[2,42] 0.7808763859 5.941666e-01 -0.194482529 1.6220410820
## z_plate[2,43] -0.0327462826 9.912299e-01 -1.623576258 1.5456585357
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## z_plate[2,45] 0.0077239016 1.005370e+00 -1.589314585 1.5833089805
## z_plate[2,46] 0.1396713202 5.284966e-01 -0.681320415 0.9554732733
## z_plate[2,47] 0.0280968462 1.003113e+00 -1.603723840 1.6403989536
## z_plate[2,48] 0.1106104832 5.047677e-01 -0.639654588 0.9058747018
## z_plate[2,49] 0.0035283286 9.927955e-01 -1.591442717 1.6049176464
## z_plate[2,50] -0.2032344688 5.197974e-01 -0.997953852 0.5939873198
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## z_plate[2,55] 0.0081593283 1.003406e+00 -1.607653218 1.6492815535
## z_plate[2,56] 0.1488757523 5.222759e-01 -0.699525917 0.9372369019
## z_plate[2,57] -0.0304382776 9.431121e-01 -1.539265098 1.4198453023
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## z_plate[2,59] -0.0142492271 1.050394e+00 -1.684761917 1.6893902708
## z_plate[2,60] -0.2821808658 5.075337e-01 -1.064770077 0.5328423857
## z_plate[2,61] -0.0155967231 9.799373e-01 -1.564728406 1.5524928343
## z_plate[2,62] -0.0599788977 5.164653e-01 -0.799180705 0.7232693998
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## z_plate[2,64] 0.5933212328 5.344364e-01 -0.307262993 1.3756994569
## z_plate[2,65] 0.0112472321 1.008148e+00 -1.580396484 1.6322862791
## z_plate[2,66] -0.5686762651 5.605052e-01 -1.386984549 0.3268482802
## z_plate[2,67] -0.0028466211 9.674564e-01 -1.546975743 1.5296962227
## z_plate[2,68] -0.6791473490 5.354117e-01 -1.487177921 0.1919016489
## z_plate[2,69] 0.0009460124 9.946414e-01 -1.595615151 1.5336949002
## z_plate[2,70] 0.0665797695 5.453812e-01 -0.819285802 0.9285778307
## z_plate[2,71] -0.0191355207 9.822712e-01 -1.536517309 1.5656370204
## z_plate[2,72] 0.1832596885 5.214871e-01 -0.662898191 0.9486480232
## z_plate[2,73] 0.0157938475 9.658961e-01 -1.458821903 1.5538187634
## z_plate[2,74] 1.8346160111 6.713494e-01 0.655084985 2.7081190791
## z_plate[2,75] 0.0082862998 9.883809e-01 -1.597064407 1.5717528222
## z_plate[2,76] -0.1576339036 5.223726e-01 -0.952787334 0.6508230862
## z_plate[2,77] -0.0275733486 1.040911e+00 -1.630074387 1.6587562230
## z_plate[2,78] 0.4947389588 5.398774e-01 -0.368299503 1.2941332023
## z_plate[2,79] 0.0066645676 1.020658e+00 -1.616492413 1.6377257201
## z_plate[2,80] -0.8181897785 5.185021e-01 -1.584558501 0.0165583933
## z_plate[2,81] 0.0358908092 1.025328e+00 -1.595800730 1.6918745749
## z_plate[2,82] 0.2495928962 5.236981e-01 -0.589685430 1.0584158922
## z_plate[2,83] 0.0205377163 9.731126e-01 -1.521104730 1.5324352153
## z_plate[2,84] 0.0887643623 5.199060e-01 -0.703190790 0.8937151672
## z_plate[2,85] -0.0208689050 1.005152e+00 -1.609950873 1.5806903795
## z_plate[2,86] 0.1157891885 5.299957e-01 -0.724990087 0.8884546481
## z_plate[2,87] -0.0154436681 1.007466e+00 -1.676235413 1.5310279804
## z_plate[2,88] -0.3462950021 5.310543e-01 -1.085642804 0.5027677065
## z_plate[2,89] -0.0175328677 9.838092e-01 -1.606334203 1.5370323666
## z_plate[2,90] 0.7341357130 5.550037e-01 -0.159423262 1.5403777800
## z_plate[2,91] 0.0125426604 1.016924e+00 -1.598358966 1.6731079302
## z_plate[2,92] -0.6974359451 5.319519e-01 -1.479975533 0.1898822233
## z_plate[2,93] 0.0016771692 9.888537e-01 -1.611851490 1.6219392717
## z_plate[2,94] 1.4253850028 6.126054e-01 0.379249182 2.2876138059
## z_plate[2,95] 0.0292629532 9.657396e-01 -1.508346010 1.5349800542
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## z_plate[2,97] -0.0051113788 1.002716e+00 -1.660193858 1.5866475317
## z_plate[2,98] 0.5939936289 5.536085e-01 -0.311803474 1.4512856060
## z_plate[2,99] 0.0116758018 1.027795e+00 -1.681157086 1.6140744111
## z_plate[2,100] -0.1502791754 5.232361e-01 -0.934875369 0.6944911525
## z_plate[2,101] -0.0082084719 1.021057e+00 -1.675422471 1.6202655866
## z_plate[2,102] 1.6619374157 5.831969e-01 0.672385764 2.4903586862
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## z_plate[2,107] 0.0215135045 9.791256e-01 -1.531961526 1.5723875686
## z_plate[2,108] 0.3023399371 5.154260e-01 -0.540138215 1.0809244164
## z_plate[2,109] -0.0064824759 1.013818e+00 -1.668450368 1.5809950456
## z_plate[2,110] 0.4115388594 5.253850e-01 -0.407883147 1.2312560088
## z_plate[2,111] 0.0162310081 9.857745e-01 -1.545886795 1.5948007822
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## z_plate[2,113] -0.0387141597 9.601378e-01 -1.548721175 1.5132831381
## z_plate[2,114] -0.3432232893 5.636380e-01 -1.212608152 0.5613836255
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## z_plate[2,117] -0.0031926771 9.782310e-01 -1.526678163 1.5537788962
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## z_plate[2,119] 0.0223029696 1.001278e+00 -1.610366560 1.6696888619
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## z_plate[2,121] -0.0012073903 1.013725e+00 -1.622392812 1.6544866548
## z_plate[2,122] 1.1198172794 5.532462e-01 0.158497300 1.9415508597
## z_plate[2,123] 0.0089029817 1.016036e+00 -1.625405495 1.6457616919
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## z_plate[2,125] 0.0237274442 9.920315e-01 -1.545320626 1.5922673121
## z_plate[2,126] -0.6375221882 5.225604e-01 -1.402812181 0.2178383225
## z_plate[2,127] 0.0020935422 1.015798e+00 -1.610137569 1.5943621104
## z_plate[2,128] 0.8451893381 5.571495e-01 -0.093996879 1.6884074795
## z_plate[2,129] 0.0063580373 1.004745e+00 -1.615257881 1.6037062396
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## z_plate[2,131] -0.0041585745 9.855823e-01 -1.569741054 1.6208001981
## z_plate[2,132] -1.0390551577 5.367953e-01 -1.763880236 -0.0856463907
## z_plate[2,133] 0.0265928270 1.039298e+00 -1.646026883 1.6431414304
## z_plate[2,134] -0.1015712869 5.404395e-01 -0.941541924 0.7352684932
## z_plate[2,135] -0.0033447395 1.021906e+00 -1.589628341 1.6250622485
## z_plate[2,136] -0.3602105698 5.018888e-01 -1.166466072 0.4001384393
## z_plate[2,137] -0.0103152149 9.843600e-01 -1.593463452 1.5230493818
## z_plate[2,138] -0.8751841068 5.663671e-01 -1.706650453 0.0316245188
## z_plate[2,139] 0.0095258151 9.295864e-01 -1.518169047 1.4866273888
## z_plate[2,140] 0.8785955306 5.314406e-01 -0.021955097 1.6464796694
## z_plate[2,141] 0.0180829434 9.215995e-01 -1.430061425 1.4812087341
## z_plate[2,142] 0.4057901753 5.076875e-01 -0.428903957 1.1907180280
## z_plate[2,143] -0.0190505899 1.010436e+00 -1.620620036 1.5289232204
## z_plate[2,144] 0.9425982954 5.481872e-01 0.078846582 1.7338231848
## z_plate[2,145] 0.0159347791 1.020666e+00 -1.646030602 1.5865122860
## z_plate[2,146] -0.2221795984 4.988919e-01 -0.967831518 0.5612195347
## z_plate[2,147] 0.0120792991 9.717161e-01 -1.522187561 1.5829573330
## z_plate[2,148] 1.2979208233 5.601524e-01 0.357575604 2.1016885570
## z_plate[2,149] 0.0131063195 1.017483e+00 -1.610351986 1.6667172840
## z_plate[2,150] -0.9667403914 5.400300e-01 -1.752128769 -0.0590953734
## z_plate[2,151] -0.0032069012 1.020660e+00 -1.630177383 1.6383351896
## z_plate[2,152] 0.0446422690 5.313283e-01 -0.783890053 0.8282206187
## z_exp[1,1] -0.6320586396 6.989291e-01 -1.814987812 0.3793594308
## z_exp[1,2] 0.3670047423 7.379435e-01 -0.739062129 1.6050927913
## z_exp[2,1] 0.1549064778 8.065508e-01 -1.116036259 1.4846927667
## z_exp[2,2] -0.1145384286 8.564556e-01 -1.523493465 1.2399024622
## g[1] -0.4350432395 4.392521e-01 -1.024161699 0.3647840684
## g[2] 0.3041884515 2.346383e-01 -0.066309690 0.5885682943
## sigma 0.5797142632 3.031931e-03 0.574839922 0.5845727581
## sigma_line[1] 0.7423939312 3.977708e-02 0.683777808 0.8077267450
## sigma_line[2] 0.5632654804 3.007718e-02 0.516182240 0.6116217797
## L_Rho_line[1,1] 1.0000000000 0.000000e+00 1.000000000 1.0000000000
## L_Rho_line[1,2] 0.0000000000 0.000000e+00 0.000000000 0.0000000000
## L_Rho_line[2,1] 0.8377233686 2.478721e-02 0.794291480 0.8742999603
## L_Rho_line[2,2] 0.5442304573 3.767463e-02 0.485386004 0.6075368521
## sigma_plate[1] 0.2631106928 2.276343e-02 0.228768063 0.3016473791
## sigma_plate[2] 0.2372364327 2.146306e-02 0.205079312 0.2730665227
## L_Rho_plate[1,1] 1.0000000000 0.000000e+00 1.000000000 1.0000000000
## L_Rho_plate[1,2] 0.0000000000 0.000000e+00 0.000000000 0.0000000000
## L_Rho_plate[2,1] 0.1686880581 4.079172e-01 -0.531145467 0.7973175213
## L_Rho_plate[2,2] 0.8863829995 1.398786e-01 0.602638367 0.9992557572
## sigma_exp[1] 0.6822698640 5.038913e-01 0.199400046 1.6563881067
## sigma_exp[2] 0.2652485052 3.713545e-01 0.010068261 0.9577550032
## L_Rho_exp[1,1] 1.0000000000 0.000000e+00 1.000000000 1.0000000000
## L_Rho_exp[1,2] 0.0000000000 0.000000e+00 0.000000000 0.0000000000
## L_Rho_exp[2,1] -0.0470626297 4.612832e-01 -0.771904602 0.6924561719
## L_Rho_exp[2,2] 0.8743141216 1.438558e-01 0.576906107 0.9990115599
## Rho_exp[1,1] 1.0000000000 0.000000e+00 1.000000000 1.0000000000
## Rho_exp[1,2] -0.0470626297 4.612832e-01 -0.771904602 0.6924561719
## Rho_exp[2,1] -0.0470626297 4.612832e-01 -0.771904602 0.6924561719
## Rho_exp[2,2] 1.0000000000 7.864195e-17 1.000000000 1.0000000000
## Rho_plate[1,1] 1.0000000000 0.000000e+00 1.000000000 1.0000000000
## Rho_plate[1,2] 0.1686880581 4.079172e-01 -0.531145467 0.7973175213
## Rho_plate[2,1] 0.1686880581 4.079172e-01 -0.531145467 0.7973175213
## Rho_plate[2,2] 1.0000000000 8.328755e-17 1.000000000 1.0000000000
## Rho_line[1,1] 1.0000000000 0.000000e+00 1.000000000 1.0000000000
## Rho_line[1,2] 0.8377233686 2.478721e-02 0.794291480 0.8742999603
## Rho_line[2,1] 0.8377233686 2.478721e-02 0.794291480 0.8742999603
## Rho_line[2,2] 1.0000000000 0.000000e+00 1.000000000 1.0000000000
## a_exp[1,1] -0.3273038944 4.373449e-01 -1.121250143 0.2628952788
## a_exp[1,2] 0.0430730251 2.337139e-01 -0.223398364 0.4166509621
## a_exp[2,1] 0.1160580854 4.372035e-01 -0.682406306 0.7088341562
## a_exp[2,2] 0.0080726338 2.291582e-01 -0.269324180 0.3593046798
## a_plate[1,1] -0.2540099220 6.984399e-02 -0.365857233 -0.1389980564
## a_plate[1,2] -0.0371087788 2.376322e-01 -0.398680261 0.3471752113
## a_plate[2,1] -0.1097013073 3.604244e-01 -0.675303884 0.4893471871
## a_plate[2,2] -0.5951298574 6.662780e-02 -0.704274655 -0.4922669886
## a_plate[3,1] -0.1864554932 7.003137e-02 -0.296971221 -0.0729156459
## a_plate[3,2] -0.0286193446 2.356259e-01 -0.379252984 0.3675643949
## a_plate[4,1] -0.0025798860 2.349489e-01 -0.376809544 0.3774966717
## a_plate[4,2] 0.0143263714 6.476046e-02 -0.091807424 0.1167323828
## a_plate[5,1] 0.3223787357 7.284358e-02 0.207929046 0.4375910420
## a_plate[5,2] 0.0495357335 2.383105e-01 -0.344505247 0.4169495466
## a_plate[6,1] -0.0183617360 2.483733e-01 -0.410276736 0.3795482347
## a_plate[6,2] -0.1021170412 7.193844e-02 -0.223489137 0.0095950744
## a_plate[7,1] -0.0292557657 7.114333e-02 -0.147932732 0.0837660288
## a_plate[7,2] -0.0061910875 2.101483e-01 -0.334956150 0.3238228774
## a_plate[8,1] 0.0116139305 2.403431e-01 -0.361815955 0.3935559764
## a_plate[8,2] 0.0549036223 6.554917e-02 -0.048989118 0.1599347220
## a_plate[9,1] 0.2958696661 7.899284e-02 0.166158088 0.4203491963
## a_plate[9,2] 0.0508025812 2.436969e-01 -0.365413217 0.4193919236
## a_plate[10,1] 0.0149505426 2.376296e-01 -0.361360725 0.3993482087
## a_plate[10,2] 0.0852791154 7.595422e-02 -0.037675280 0.2053941220
## a_plate[11,1] -0.0634157874 7.791844e-02 -0.186699755 0.0620938106
## a_plate[11,2] -0.0118535780 2.137293e-01 -0.348829288 0.3363649251
## a_plate[12,1] 0.0206638569 2.289463e-01 -0.355639119 0.3838592265
## a_plate[12,2] 0.0936169125 7.079340e-02 -0.016674264 0.2103178723
## a_plate[13,1] -0.0115056130 7.233725e-02 -0.126005198 0.1035884089
## a_plate[13,2] 0.0056048704 2.208141e-01 -0.359068541 0.3661875728
## a_plate[14,1] 0.0798318201 3.027216e-01 -0.406321575 0.5412993621
## a_plate[14,2] 0.4124641492 7.233371e-02 0.296119315 0.5279921814
## a_plate[15,1] 0.0672219923 6.946726e-02 -0.048849572 0.1789363793
## a_plate[15,2] 0.0087912449 2.210525e-01 -0.349549829 0.3589198127
## a_plate[16,1] -0.0209557156 2.424746e-01 -0.410963100 0.3656450313
## a_plate[16,2] -0.1266206321 6.670225e-02 -0.234011574 -0.0210578955
## a_plate[17,1] 0.2738479683 7.675183e-02 0.154421714 0.4007465217
## a_plate[17,2] 0.0486820722 2.420655e-01 -0.358399228 0.4171904595
## a_plate[18,1] 0.0214383591 2.492453e-01 -0.388490552 0.3843115516
## a_plate[18,2] 0.1664042493 7.295885e-02 0.049514761 0.2808455256
## a_plate[19,1] -0.1243542134 7.899605e-02 -0.252117332 -0.0004316447
## a_plate[19,2] -0.0218224939 2.115417e-01 -0.355934238 0.3224950167
## a_plate[20,1] -0.0143787862 2.474047e-01 -0.404551802 0.3799217462
## a_plate[20,2] -0.0341401444 7.062249e-02 -0.149529341 0.0799718010
## a_plate[21,1] -0.4377751265 7.730157e-02 -0.561613834 -0.3148066408
## a_plate[21,2] -0.0671734403 2.732644e-01 -0.474063729 0.3797343981
## a_plate[22,1] -0.1534868340 4.286463e-01 -0.796509970 0.5715695009
## a_plate[22,2] -0.7823373332 6.873611e-02 -0.892142074 -0.6755016522
## a_plate[23,1] -0.3008230629 6.849160e-02 -0.412623900 -0.1889398674
## a_plate[23,2] -0.0426126795 2.467157e-01 -0.429142735 0.3609200523
## a_plate[24,1] -0.0030165499 2.307834e-01 -0.362850680 0.3529722169
## a_plate[24,2] -0.0345746585 6.323010e-02 -0.133836199 0.0661996672
## a_plate[25,1] -0.0083123521 7.852279e-02 -0.136096892 0.1167494578
## a_plate[25,2] 0.0016335252 2.207830e-01 -0.343604199 0.3615787457
## a_plate[26,1] -0.0119556630 2.371060e-01 -0.394143047 0.3837314503
## a_plate[26,2] -0.0125042893 7.775486e-02 -0.136821983 0.1120528495
## a_plate[27,1] -0.3827202810 6.922589e-02 -0.491816418 -0.2734038734
## a_plate[27,2] -0.0615600976 2.664034e-01 -0.475231084 0.3858463864
## a_plate[28,1] -0.0401789974 2.523989e-01 -0.428625488 0.3749423312
## a_plate[28,2] -0.2033093011 6.294382e-02 -0.306257556 -0.1071017863
## a_plate[29,1] -0.0575098340 8.031699e-02 -0.185838836 0.0727986100
## a_plate[29,2] -0.0106362846 2.199951e-01 -0.372633988 0.3570720253
## a_plate[30,1] -0.1210215970 3.750629e-01 -0.676934917 0.5018546666
## a_plate[30,2] -0.6324889059 7.535575e-02 -0.754340033 -0.5155869717
## a_plate[31,1] 0.1974436024 6.898894e-02 0.088191320 0.3069821349
## a_plate[31,2] 0.0323406495 2.269383e-01 -0.341099247 0.3874280392
## a_plate[32,1] 0.0116243289 2.454710e-01 -0.382435307 0.3963453342
## a_plate[32,2] 0.0793294485 6.329602e-02 -0.020638381 0.1806670630
## a_plate[33,1] 0.1918856326 7.844991e-02 0.072297344 0.3179892171
## a_plate[33,2] 0.0322714154 2.344748e-01 -0.352353140 0.3926734926
## a_plate[34,1] 0.0226441892 2.406036e-01 -0.363332706 0.3978705286
## a_plate[34,2] 0.0970207991 7.081760e-02 -0.016789216 0.2092839334
## a_plate[35,1] 0.4658508753 7.485012e-02 0.351266427 0.5856840643
## a_plate[35,2] 0.0704207151 2.784075e-01 -0.388441901 0.4797370553
## a_plate[36,1] -0.0397128390 2.522516e-01 -0.433925927 0.3857750448
## a_plate[36,2] -0.1805704450 6.612876e-02 -0.284579097 -0.0727619697
## a_plate[37,1] 0.0238728605 7.614186e-02 -0.099410349 0.1466969524
## a_plate[37,2] 0.0007101692 2.190132e-01 -0.346390017 0.3497882739
## a_plate[38,1] 0.0472332615 2.653673e-01 -0.385869396 0.4680300014
## a_plate[38,2] 0.2124620547 7.013889e-02 0.101567169 0.3278407295
## a_plate[39,1] 0.1553128636 7.530901e-02 0.036592242 0.2769737826
## a_plate[39,2] 0.0194331379 2.242496e-01 -0.346537789 0.3755661239
## a_plate[40,1] 0.0653590018 2.921919e-01 -0.413368147 0.5063522225
## a_plate[40,2] 0.3556988503 7.381268e-02 0.236777809 0.4739267463
## a_plate[41,1] -0.3275171802 8.847106e-02 -0.471324119 -0.1909971957
## a_plate[41,2] -0.0451028984 2.453873e-01 -0.417919402 0.3448465377
## a_plate[42,1] 0.0421514780 2.589254e-01 -0.375060989 0.4366622533
## a_plate[42,2] 0.2118733151 8.726335e-02 0.074482712 0.3500661835
## a_plate[43,1] -0.2192465828 7.118286e-02 -0.335850052 -0.1079215873
## a_plate[43,2] -0.0417746676 2.292244e-01 -0.395366090 0.3263458687
## a_plate[44,1] -0.0151296366 2.481680e-01 -0.407348413 0.3867177919
## a_plate[44,2] -0.1274059718 6.880251e-02 -0.234962047 -0.0162465379
## a_plate[45,1] -0.0719413731 7.567730e-02 -0.186888602 0.0492869669
## a_plate[45,2] -0.0090958350 2.184816e-01 -0.350784390 0.3377076044
## a_plate[46,1] 0.0067286206 2.334555e-01 -0.370895326 0.3710076338
## a_plate[46,2] 0.0361633524 7.649052e-02 -0.087600617 0.1572794412
## a_plate[47,1] -0.0269974466 7.410885e-02 -0.144779891 0.0943688705
## a_plate[47,2] 0.0015739748 2.139100e-01 -0.332824108 0.3487353440
## a_plate[48,1] 0.0004311577 2.462171e-01 -0.381688220 0.3924526567
## a_plate[48,2] 0.0303551524 6.572631e-02 -0.071954563 0.1389669305
## a_plate[49,1] -0.2577527486 7.450710e-02 -0.375236925 -0.1332598616
## a_plate[49,2] -0.0406950872 2.349780e-01 -0.417752257 0.3456872462
## a_plate[50,1] -0.0195439819 2.479338e-01 -0.403450575 0.3891123174
## a_plate[50,2] -0.0606723440 7.407049e-02 -0.179434885 0.0540790344
## a_plate[51,1] -0.0849214650 7.743730e-02 -0.207489375 0.0374865527
## a_plate[51,2] -0.0156047477 2.253367e-01 -0.382542511 0.3445889653
## a_plate[52,1] -0.0116675014 2.375025e-01 -0.399452612 0.3592342753
## a_plate[52,2] -0.0671367227 7.424785e-02 -0.183291190 0.0519556768
## a_plate[53,1] -0.2851788234 8.418435e-02 -0.414144831 -0.1508402372
## a_plate[53,2] -0.0454322394 2.376543e-01 -0.406119458 0.3432112635
## a_plate[54,1] -0.0478716653 2.623929e-01 -0.448102257 0.3776542265
## a_plate[54,2] -0.2312749096 7.963099e-02 -0.361107150 -0.1021686883
## a_plate[55,1] -0.1548774766 8.091960e-02 -0.284629561 -0.0273273688
## a_plate[55,2] -0.0237150913 2.261842e-01 -0.378054155 0.3444676185
## a_plate[56,1] 0.0085609469 2.389722e-01 -0.374578168 0.3888050125
## a_plate[56,2] 0.0379817894 7.500453e-02 -0.078996269 0.1537045792
## a_plate[57,1] 0.1736032446 7.967578e-02 0.050047850 0.3022128499
## a_plate[57,2] 0.0217023016 2.137376e-01 -0.344560710 0.3353946539
## a_plate[58,1] -0.0050280388 2.460703e-01 -0.400807296 0.3801634856
## a_plate[58,2] -0.0305693833 7.836352e-02 -0.158104289 0.0910335364
## a_plate[59,1] 0.0101475361 7.116960e-02 -0.101280731 0.1235146638
## a_plate[59,2] -0.0034753110 2.255176e-01 -0.364964844 0.3746425872
## a_plate[60,1] -0.0137545138 2.393211e-01 -0.391163816 0.3653589081
## a_plate[60,2] -0.0744963307 6.607305e-02 -0.180080296 0.0320083523
## a_plate[61,1] 0.2676383457 7.668988e-02 0.148293166 0.3910591696
## a_plate[61,2] 0.0401986592 2.307093e-01 -0.335851879 0.3965743479
## a_plate[62,1] -0.0190558661 2.434427e-01 -0.415880345 0.3741144091
## a_plate[62,2] -0.0218980256 6.848974e-02 -0.131517005 0.0878764703
## a_plate[63,1] 0.2727885146 7.695677e-02 0.149041123 0.3926356450
## a_plate[63,2] 0.0395936182 2.287483e-01 -0.337002510 0.3884706762
## a_plate[64,1] 0.0273572641 2.481234e-01 -0.372773336 0.4054567593
## a_plate[64,2] 0.1581342011 7.221852e-02 0.043573858 0.2710713888
## a_plate[65,1] -0.0141262877 8.364993e-02 -0.147310401 0.1181024899
## a_plate[65,2] -0.0003542623 2.167140e-01 -0.344791494 0.3403424860
## a_plate[66,1] -0.0329842300 2.527695e-01 -0.412088599 0.3774634970
## a_plate[66,2] -0.1531076280 8.335849e-02 -0.284007216 -0.0176272447
## a_plate[67,1] 0.2623649830 7.504936e-02 0.142279868 0.3871934818
## a_plate[67,2] 0.0370812832 2.278135e-01 -0.335403378 0.3798705106
## a_plate[68,1] -0.0343017960 2.527851e-01 -0.432254955 0.3806797054
## a_plate[68,2] -0.1786552138 7.578496e-02 -0.303961107 -0.0619963071
## a_plate[69,1] 0.2825112243 8.027234e-02 0.154312725 0.4102474217
## a_plate[69,2] 0.0426407265 2.378880e-01 -0.348013221 0.3996362919
## a_plate[70,1] -0.0028243582 2.399844e-01 -0.395264903 0.3795687875
## a_plate[70,2] 0.0198019890 8.273500e-02 -0.117492243 0.1488828564
## a_plate[71,1] 0.0848942834 7.076085e-02 -0.027698718 0.1959188723
## a_plate[71,2] 0.0077124322 2.124581e-01 -0.328226189 0.3461921295
## a_plate[72,1] 0.0105068340 2.449707e-01 -0.375916244 0.3955094643
## a_plate[72,2] 0.0512914108 6.667655e-02 -0.055717926 0.1536548700
## a_plate[73,1] 0.0209075091 8.194273e-02 -0.109286689 0.1563326859
## a_plate[73,2] 0.0079917398 2.119106e-01 -0.316272625 0.3412614148
## a_plate[74,1] 0.0936836135 3.346714e-01 -0.466335115 0.5935071273
## a_plate[74,2] 0.4946995737 7.733450e-02 0.367184014 0.6173116300
## a_plate[75,1] -0.2668147898 6.800591e-02 -0.372519351 -0.1590841160
## a_plate[75,2] -0.0390809392 2.349380e-01 -0.406270828 0.3459759678
## a_plate[76,1] -0.0089518743 2.426632e-01 -0.398518216 0.3810392200
## a_plate[76,2] -0.0393430634 6.322492e-02 -0.143436736 0.0611967339
## a_plate[77,1] -0.4183559599 7.484713e-02 -0.532505756 -0.3004864883
## a_plate[77,2] -0.0697016785 2.713724e-01 -0.482421765 0.3866085418
## a_plate[78,1] 0.0249277149 2.504598e-01 -0.397906368 0.3982276118
## a_plate[78,2] 0.1333274620 7.464201e-02 0.013175219 0.2523898452
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## a_plate[104,1] -0.0195771509 2.489002e-01 -0.401859255 0.3814854228
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## a_plate[106,2] 0.1492328487 7.300994e-02 0.030868400 0.2633209124
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## a_plate[107,2] 0.0381705158 2.273114e-01 -0.321119802 0.3976861699
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## a_plate[110,1] 0.0190850100 2.295180e-01 -0.367419169 0.3832305044
## a_plate[110,2] 0.1039574813 6.967274e-02 -0.004443617 0.2148225597
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## a_plate[116,2] 0.1359608396 7.437803e-02 0.017563801 0.2559721391
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## a_line[137,2] -0.2731700646 8.426373e-02 -0.407616825 -0.1375021851
## a_line[138,1] -1.0528346308 9.427345e-02 -1.204119720 -0.9039660974
## a_line[138,2] -0.8424522488 9.034646e-02 -0.992588945 -0.6976399418
## a_line[139,1] 0.4242123584 9.852150e-02 0.266266888 0.5833022620
## a_line[139,2] 0.5183200797 8.765538e-02 0.376526796 0.6589614174
## a_line[140,1] 0.1460527249 9.162814e-02 0.001332004 0.2907548656
## a_line[140,2] 0.1001937263 8.457342e-02 -0.036547336 0.2360427867
## a_line[141,1] -0.1520299342 1.421107e-01 -0.373629282 0.0767007015
## a_line[141,2] 0.1633496735 1.437007e-01 -0.066488701 0.3927374191
## a_line[142,1] 0.5819375401 9.045982e-02 0.439024759 0.7267106059
## a_line[142,2] -0.0556806571 8.396118e-02 -0.189318667 0.0807413353
## a_line[143,1] -0.1855787926 9.946593e-02 -0.346715511 -0.0262217450
## a_line[143,2] -0.6531490463 9.059761e-02 -0.795953321 -0.5087961375
## a_line[144,1] 0.8206406305 1.041017e-01 0.656717328 0.9881568221
## a_line[144,2] 0.0152938191 8.947097e-02 -0.128819665 0.1611640234
## a_line[145,1] 0.4697885638 9.308982e-02 0.321091054 0.6152009810
## a_line[145,2] 0.1167772320 9.982488e-02 -0.042846469 0.2760357748
## a_line[146,1] 0.6137203089 1.118981e-01 0.434189257 0.7934344857
## a_line[146,2] 0.3524941997 1.017717e-01 0.187726856 0.5174144035
## a_line[147,1] -0.1349432215 9.374013e-02 -0.288765097 0.0093274476
## a_line[147,2] -0.2672626746 8.725610e-02 -0.406843603 -0.1285516574
## a_line[148,1] -0.1588194604 9.345885e-02 -0.306938631 -0.0076079120
## a_line[148,2] -0.0232714864 8.718685e-02 -0.160955094 0.1138766311
## a_line[149,1] -0.2868501587 9.664861e-02 -0.442621101 -0.1301945178
## a_line[149,2] 0.0480023716 8.735542e-02 -0.090596614 0.1882601179
## a_line[150,1] -0.8279412074 1.016844e-01 -0.993168472 -0.6622215054
## a_line[150,2] -0.4999500953 9.373010e-02 -0.641251164 -0.3464633509
## a_line[151,1] 0.2656700951 2.736056e-01 -0.159833795 0.7090151072
## a_line[151,2] 0.1904024326 3.079366e-01 -0.298445404 0.6925374888
## a_line[152,1] -0.1716281934 1.155864e-01 -0.352359517 0.0178916718
## a_line[152,2] 0.5179852116 9.466759e-02 0.365654282 0.6667855092
## a_line[153,1] -0.5835997079 1.002360e-01 -0.742828609 -0.4205762109
## a_line[153,2] -0.1313646279 9.616843e-02 -0.283042970 0.0202627216
## a_line[154,1] 0.2532957308 1.068754e-01 0.080983126 0.4186398133
## a_line[154,2] 0.4801251164 9.397252e-02 0.324459071 0.6249944742
## a_line[155,1] -0.0437862880 1.004165e-01 -0.203335699 0.1135564928
## a_line[155,2] 0.2741602155 8.836140e-02 0.133383160 0.4163770895
## a_line[156,1] 0.4651548508 1.321154e-01 0.250117337 0.6717097387
## a_line[156,2] -0.1194935013 1.278277e-01 -0.323677551 0.0875187585
## a_line[157,1] 0.2341434485 1.014654e-01 0.068831151 0.3893621229
## a_line[157,2] 0.0298163494 9.198347e-02 -0.116847268 0.1707131895
## a_line[158,1] -0.4241312825 4.137875e-01 -1.080682962 0.2276133195
## a_line[158,2] -0.3280086874 3.420723e-01 -0.879761078 0.2169211961
## a_line[159,1] -0.1576592842 1.150584e-01 -0.340302540 0.0209812516
## a_line[159,2] -0.3557655871 1.108581e-01 -0.529887670 -0.1830955461
## a_line[160,1] -0.0141725656 1.073774e-01 -0.183298512 0.1588282335
## a_line[160,2] -0.1638083379 9.920217e-02 -0.318422052 -0.0061919264
## a_line[161,1] -0.5357584691 9.393994e-02 -0.688005784 -0.3870704548
## a_line[161,2] -0.1907609317 8.965297e-02 -0.336915610 -0.0541076173
## a_line[162,1] 0.2959259771 8.891689e-02 0.154081882 0.4391080921
## a_line[162,2] -0.2030435617 8.396010e-02 -0.334609454 -0.0695157054
## a_line[163,1] 0.7705657666 9.077493e-02 0.625422207 0.9205481870
## a_line[163,2] 0.3401047027 8.484862e-02 0.207339525 0.4811117841
## a_line[164,1] 0.0640334128 1.026071e-01 -0.098014289 0.2256260261
## a_line[164,2] -0.1122208384 1.002751e-01 -0.271918474 0.0433838506
## a_line[165,1] -1.1877881497 1.035219e-01 -1.348361637 -1.0193364797
## a_line[165,2] -1.1214168973 1.013816e-01 -1.281902402 -0.9622506876
## a_line[166,1] -0.4933700946 8.967339e-02 -0.633319226 -0.3520668401
## a_line[166,2] -0.5219488224 8.255904e-02 -0.652468488 -0.3916213518
## a_line[167,1] -0.3729061046 1.082907e-01 -0.544688732 -0.2026997186
## a_line[167,2] -0.5612958024 9.337748e-02 -0.710996953 -0.4146773906
## a_line[168,1] 1.0478570384 1.019622e-01 0.884816674 1.2150807270
## a_line[168,2] 1.0046935960 9.829363e-02 0.847004525 1.1629161610
## a_line[169,1] -0.6697642957 9.613953e-02 -0.819326697 -0.5097989172
## a_line[169,2] -0.6527456379 8.547348e-02 -0.788610639 -0.5152172674
## a_line[170,1] -0.3258595260 8.968236e-02 -0.470526312 -0.1892292850
## a_line[170,2] -0.3252709409 9.378716e-02 -0.472075592 -0.1776283423
## a_line[171,1] -0.2594099951 9.643151e-02 -0.413525784 -0.1091667447
## a_line[171,2] 0.0203492161 8.640563e-02 -0.123459544 0.1521978137
## a_line[172,1] 0.7410768013 9.137958e-02 0.598667179 0.8903986948
## a_line[172,2] 0.7440281035 8.616943e-02 0.605800107 0.8795012572
## a_line[173,1] 1.3426163979 9.181480e-02 1.195277012 1.4906635127
## a_line[173,2] 0.6857448533 8.576012e-02 0.551025556 0.8254722464
## a_line[174,1] -0.3944958075 9.140681e-02 -0.539533189 -0.2517392299
## a_line[174,2] -0.0548253111 7.991016e-02 -0.183583423 0.0736502936
## a_line[175,1] -0.7545444008 3.371354e-01 -1.296124584 -0.1985230657
## a_line[175,2] -0.4638480266 3.152846e-01 -0.983892734 0.0351054847
## a_line[176,1] -0.1875828806 9.597779e-02 -0.342301391 -0.0329022331
## a_line[176,2] 0.0173398562 8.626993e-02 -0.125265588 0.1529874173
## a_line[177,1] 1.1976930379 9.121138e-02 1.056559932 1.3459355925
## a_line[177,2] 1.4319888087 9.031657e-02 1.293956587 1.5769364453
## a_line[178,1] -0.5816600619 8.836606e-02 -0.719064986 -0.4408973449
## a_line[178,2] -0.2944198229 7.885128e-02 -0.424468807 -0.1680798357
## a_line[179,1] -1.0182220370 9.193990e-02 -1.166569705 -0.8665135466
## a_line[179,2] -0.2031196277 7.930513e-02 -0.334341222 -0.0775406533
## a_line[180,1] -0.5907532121 1.002094e-01 -0.749329245 -0.4307260360
## a_line[180,2] -0.1668115470 8.869016e-02 -0.304250307 -0.0288946239
## n_eff Rhat4
## z_line[1,1] 335.78425 1.0069577
## z_line[1,2] 268.47585 1.0126203
## z_line[1,3] 710.68274 1.0010787
## z_line[1,4] 217.66534 1.0032763
## z_line[1,5] 249.67050 1.0025221
## z_line[1,6] 258.35069 1.0064667
## z_line[1,7] 316.03094 1.0158730
## z_line[1,8] 419.25362 1.0094594
## z_line[1,9] 1068.45647 1.0010759
## z_line[1,10] 1476.28426 1.0009985
## z_line[1,11] 204.43128 1.0221647
## z_line[1,12] 300.63221 1.0110185
## z_line[1,13] 283.04622 1.0088620
## z_line[1,14] 366.01588 1.0096854
## z_line[1,15] 347.74644 1.0077421
## z_line[1,16] 262.21093 1.0185807
## z_line[1,17] 315.53995 1.0026453
## z_line[1,18] 435.14098 1.0097401
## z_line[1,19] 381.75386 1.0099742
## z_line[1,20] 230.64125 1.0015342
## z_line[1,21] 265.23100 1.0091433
## z_line[1,22] 257.12625 1.0099040
## z_line[1,23] 231.15100 1.0196915
## z_line[1,24] 275.78879 1.0076786
## z_line[1,25] 235.35430 1.0006985
## z_line[1,26] 908.26615 1.0021527
## z_line[1,27] 236.74553 1.0184530
## z_line[1,28] 240.80797 1.0182614
## z_line[1,29] 374.20489 1.0040049
## z_line[1,30] 242.84416 1.0070972
## z_line[1,31] 320.36573 1.0018076
## z_line[1,32] 1556.34354 1.0013480
## z_line[1,33] 231.72843 1.0175843
## z_line[1,34] 182.35147 1.0019037
## z_line[1,35] 196.07436 1.0010939
## z_line[1,36] 281.73793 1.0074051
## z_line[1,37] 259.45257 1.0065647
## z_line[1,38] 264.89292 1.0056671
## z_line[1,39] 238.36771 1.0184871
## z_line[1,40] 2177.05806 0.9988284
## z_line[1,41] 242.63626 1.0009515
## z_line[1,42] 228.99993 1.0186717
## z_line[1,43] 341.71096 1.0011979
## z_line[1,44] 373.91162 1.0140577
## z_line[1,45] 491.23397 1.0065552
## z_line[1,46] 425.93367 1.0050666
## z_line[1,47] 257.01970 1.0002994
## z_line[1,48] 225.21956 1.0029422
## z_line[1,49] 278.71792 1.0036007
## z_line[1,50] 253.28833 1.0038769
## z_line[1,51] 318.79594 1.0068984
## z_line[1,52] 290.62769 1.0127930
## z_line[1,53] 251.94801 1.0020973
## z_line[1,54] 305.95784 1.0067834
## z_line[1,55] 463.50866 1.0008981
## z_line[1,56] 284.46099 1.0106001
## z_line[1,57] 303.36678 1.0099089
## z_line[1,58] 255.01993 1.0159584
## z_line[1,59] 265.78336 1.0127288
## z_line[1,60] 188.42761 1.0022138
## z_line[1,61] 300.66082 1.0121210
## z_line[1,62] 285.65707 1.0029752
## z_line[1,63] 192.10448 1.0022619
## z_line[1,64] 257.50471 1.0122827
## z_line[1,65] 371.96343 1.0059565
## z_line[1,66] 252.60427 1.0082883
## z_line[1,67] 558.05792 1.0108667
## z_line[1,68] 259.33234 1.0021856
## z_line[1,69] 362.04003 1.0047519
## z_line[1,70] 367.73197 1.0043208
## z_line[1,71] 404.72123 1.0101728
## z_line[1,72] 216.90025 1.0001188
## z_line[1,73] 3564.74405 0.9993023
## z_line[1,74] 247.24261 1.0002124
## z_line[1,75] 248.98039 1.0018446
## z_line[1,76] 340.80712 1.0059198
## z_line[1,77] 329.62897 1.0074657
## z_line[1,78] 209.36848 1.0016922
## z_line[1,79] 258.93783 1.0020760
## z_line[1,80] 362.61469 1.0032471
## z_line[1,81] 2318.46892 0.9999338
## z_line[1,82] 275.67296 1.0110968
## z_line[1,83] 274.67982 1.0079203
## z_line[1,84] 1764.59909 1.0003970
## z_line[1,85] 370.54643 1.0055318
## z_line[1,86] 513.14811 1.0089775
## z_line[1,87] 318.09300 1.0138974
## z_line[1,88] 293.62694 1.0051318
## z_line[1,89] 853.26814 1.0027017
## z_line[1,90] 306.42208 0.9995985
## z_line[1,91] 236.73145 1.0022204
## z_line[1,92] 313.92852 1.0020440
## z_line[1,93] 359.01670 1.0038011
## z_line[1,94] 348.81286 1.0017212
## z_line[1,95] 276.39965 0.9998670
## z_line[1,96] 1139.25807 1.0021795
## z_line[1,97] 458.24300 1.0082519
## z_line[1,98] 240.08549 1.0208986
## z_line[1,99] 279.88654 1.0139838
## z_line[1,100] 270.70656 1.0088666
## z_line[1,101] 346.55267 1.0058264
## z_line[1,102] 2542.15783 0.9999684
## z_line[1,103] 369.05204 1.0095609
## z_line[1,104] 1717.56788 1.0003860
## z_line[1,105] 376.78840 1.0045908
## z_line[1,106] 280.77572 0.9992879
## z_line[1,107] 298.92769 1.0026479
## z_line[1,108] 1127.22210 1.0023530
## z_line[1,109] 445.64798 1.0087827
## z_line[1,110] 489.15225 1.0050577
## z_line[1,111] 350.02198 1.0004923
## z_line[1,112] 336.03025 1.0197670
## z_line[1,113] 338.12758 1.0007684
## z_line[1,114] 225.62568 1.0182048
## z_line[1,115] 279.71104 1.0020247
## z_line[1,116] 225.49716 1.0204940
## z_line[1,117] 467.33651 1.0084177
## z_line[1,118] 211.45156 1.0014988
## z_line[1,119] 205.47164 1.0206059
## z_line[1,120] 1039.51589 1.0019767
## z_line[1,121] 3001.11902 0.9984726
## z_line[1,122] 256.07283 1.0009962
## z_line[1,123] 253.69755 1.0036219
## z_line[1,124] 219.34137 1.0025189
## z_line[1,125] 321.20083 1.0095236
## z_line[1,126] 868.36315 1.0033085
## z_line[1,127] 270.20040 1.0108965
## z_line[1,128] 251.56186 1.0142890
## z_line[1,129] 224.39329 0.9988227
## z_line[1,130] 315.17214 1.0089428
## z_line[1,131] 337.04004 1.0082551
## z_line[1,132] 290.40305 1.0047992
## z_line[1,133] 277.63030 1.0046652
## z_line[1,134] 2583.33829 0.9985830
## z_line[1,135] 751.12478 1.0024593
## z_line[1,136] 1090.27642 1.0034248
## z_line[1,137] 238.67235 1.0178357
## z_line[1,138] 233.90694 1.0146247
## z_line[1,139] 311.20644 1.0041924
## z_line[1,140] 250.61229 1.0090398
## z_line[1,141] 524.48811 1.0066412
## z_line[1,142] 245.38721 1.0060501
## z_line[1,143] 332.85720 1.0077047
## z_line[1,144] 284.03181 1.0012604
## z_line[1,145] 256.97894 1.0050050
## z_line[1,146] 386.25190 1.0011210
## z_line[1,147] 249.74131 1.0107433
## z_line[1,148] 250.90180 1.0070896
## z_line[1,149] 261.36362 1.0151815
## z_line[1,150] 314.36363 1.0135566
## z_line[1,151] 1852.38696 1.0004299
## z_line[1,152] 390.12714 1.0085614
## z_line[1,153] 286.21765 1.0141124
## z_line[1,154] 317.76088 1.0020356
## z_line[1,155] 286.17662 1.0037991
## z_line[1,156] 515.75565 1.0040584
## z_line[1,157] 347.28247 1.0031234
## z_line[1,158] 2993.73534 1.0003809
## z_line[1,159] 372.99235 1.0063913
## z_line[1,160] 336.13127 1.0051637
## z_line[1,161] 248.34100 1.0217331
## z_line[1,162] 263.52381 1.0042018
## z_line[1,163] 247.85636 1.0006452
## z_line[1,164] 329.44677 1.0065742
## z_line[1,165] 242.15780 1.0189195
## z_line[1,166] 236.12225 1.0202536
## z_line[1,167] 408.45560 1.0090354
## z_line[1,168] 285.22882 0.9991851
## z_line[1,169] 255.71396 1.0146585
## z_line[1,170] 259.22269 1.0187632
## z_line[1,171] 307.59430 1.0121601
## z_line[1,172] 250.20494 1.0023428
## z_line[1,173] 201.96730 1.0004697
## z_line[1,174] 280.67132 1.0096861
## z_line[1,175] 2304.09283 1.0007485
## z_line[1,176] 295.58782 1.0105509
## z_line[1,177] 217.76583 0.9999653
## z_line[1,178] 240.77297 1.0147050
## z_line[1,179] 225.77060 1.0220021
## z_line[1,180] 292.17436 1.0117631
## z_line[2,1] 2013.56864 0.9991587
## z_line[2,2] 1742.72926 0.9994011
## z_line[2,3] 2176.27408 0.9983625
## z_line[2,4] 1028.57832 1.0008083
## z_line[2,5] 1515.72829 0.9991590
## z_line[2,6] 2065.01140 1.0030200
## z_line[2,7] 2058.46670 1.0015315
## z_line[2,8] 2116.74032 0.9999259
## z_line[2,9] 3157.95633 1.0000625
## z_line[2,10] 2692.30908 0.9999526
## z_line[2,11] 947.66090 1.0026061
## z_line[2,12] 2258.32459 0.9989110
## z_line[2,13] 2201.15666 1.0007302
## z_line[2,14] 2349.92377 1.0001362
## z_line[2,15] 2491.33490 0.9995792
## z_line[2,16] 1613.24809 1.0026975
## z_line[2,17] 1982.75854 0.9988357
## z_line[2,18] 2935.40648 1.0004256
## z_line[2,19] 2051.56047 0.9993830
## z_line[2,20] 1337.74065 1.0016956
## z_line[2,21] 1687.10602 1.0000023
## z_line[2,22] 1419.75673 0.9992361
## z_line[2,23] 1177.37526 1.0006372
## z_line[2,24] 1507.51800 0.9989115
## z_line[2,25] 1328.55608 0.9991464
## z_line[2,26] 3738.81503 0.9992235
## z_line[2,27] 1718.87713 1.0002094
## z_line[2,28] 1350.86570 1.0014401
## z_line[2,29] 2455.82967 0.9993617
## z_line[2,30] 1790.78706 0.9986787
## z_line[2,31] 1473.04414 1.0009314
## z_line[2,32] 2184.78585 0.9986391
## z_line[2,33] 1445.21027 0.9998324
## z_line[2,34] 569.05199 1.0052971
## z_line[2,35] 881.49841 1.0023011
## z_line[2,36] 1863.65151 0.9992907
## z_line[2,37] 1584.52011 0.9995504
## z_line[2,38] 1716.54139 1.0009332
## z_line[2,39] 1246.85164 1.0012263
## z_line[2,40] 3726.29845 0.9982179
## z_line[2,41] 731.71909 1.0049926
## z_line[2,42] 874.46312 1.0026451
## z_line[2,43] 1826.81666 1.0021283
## z_line[2,44] 2201.69261 1.0033020
## z_line[2,45] 2019.13854 0.9994389
## z_line[2,46] 2396.80592 0.9990456
## z_line[2,47] 1302.78013 1.0002971
## z_line[2,48] 1400.90323 1.0011321
## z_line[2,49] 2094.94627 1.0019380
## z_line[2,50] 1827.24304 1.0009202
## z_line[2,51] 1641.93396 1.0007539
## z_line[2,52] 1614.56228 0.9992305
## z_line[2,53] 1589.52927 1.0000861
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## z_plate[2,119] 3654.56521 0.9984779
## z_plate[2,120] 1455.98870 0.9992043
## z_plate[2,121] 3939.40953 0.9995562
## z_plate[2,122] 377.75355 1.0032744
## z_plate[2,123] 4039.90611 0.9995462
## z_plate[2,124] 620.21126 1.0008729
## z_plate[2,125] 3422.95406 0.9984500
## z_plate[2,126] 986.73899 1.0035890
## z_plate[2,127] 3475.87567 0.9989662
## z_plate[2,128] 1528.39087 0.9990669
## z_plate[2,129] 3195.26634 0.9992473
## z_plate[2,130] 257.37403 1.0102056
## z_plate[2,131] 2435.34136 0.9986357
## z_plate[2,132] 501.00091 1.0017033
## z_plate[2,133] 3142.95401 1.0001376
## z_plate[2,134] 1345.73445 0.9988118
## z_plate[2,135] 3506.82153 0.9999235
## z_plate[2,136] 1619.38701 1.0023876
## z_plate[2,137] 3886.80531 0.9989416
## z_plate[2,138] 991.93335 1.0027985
## z_plate[2,139] 2786.41474 1.0009270
## z_plate[2,140] 683.08641 1.0019725
## z_plate[2,141] 3073.39305 0.9998261
## z_plate[2,142] 1286.38308 1.0007174
## z_plate[2,143] 3215.29003 0.9987743
## z_plate[2,144] 728.09602 1.0021529
## z_plate[2,145] 4362.27063 0.9989369
## z_plate[2,146] 992.08152 1.0036664
## z_plate[2,147] 3950.58012 0.9984590
## z_plate[2,148] 373.15705 1.0029666
## z_plate[2,149] 3593.23832 0.9989124
## z_plate[2,150] 665.17402 0.9996879
## z_plate[2,151] 3238.68791 0.9988842
## z_plate[2,152] 680.79665 1.0025634
## z_exp[1,1] 1373.23111 1.0007862
## z_exp[1,2] 1283.95426 0.9997348
## z_exp[2,1] 1434.75023 0.9995703
## z_exp[2,2] 1298.18983 0.9991877
## g[1] 1080.33197 0.9998178
## g[2] 500.14937 1.0068191
## sigma 2385.37021 1.0021924
## sigma_line[1] 160.19440 1.0164085
## sigma_line[2] 311.47227 1.0060029
## L_Rho_line[1,1] NaN NaN
## L_Rho_line[1,2] NaN NaN
## L_Rho_line[2,1] 242.76505 1.0039276
## L_Rho_line[2,2] 243.75495 1.0037387
## sigma_plate[1] 486.58302 1.0024602
## sigma_plate[2] 936.55256 1.0016153
## L_Rho_plate[1,1] NaN NaN
## L_Rho_plate[1,2] NaN NaN
## L_Rho_plate[2,1] 28.62288 1.1613812
## L_Rho_plate[2,2] 61.33105 1.0324670
## sigma_exp[1] 1079.70107 1.0048272
## sigma_exp[2] 610.01884 1.0035886
## L_Rho_exp[1,1] NaN NaN
## L_Rho_exp[1,2] NaN NaN
## L_Rho_exp[2,1] 2506.24254 1.0000927
## L_Rho_exp[2,2] 931.60437 1.0011170
## Rho_exp[1,1] NaN NaN
## Rho_exp[1,2] 2506.24254 1.0000927
## Rho_exp[2,1] 2506.24254 1.0000927
## Rho_exp[2,2] 1389.78527 0.9979980
## Rho_plate[1,1] NaN NaN
## Rho_plate[1,2] 28.62288 1.1613812
## Rho_plate[2,1] 28.62288 1.1613812
## Rho_plate[2,2] 2175.34512 0.9979980
## Rho_line[1,1] NaN NaN
## Rho_line[1,2] 242.76505 1.0039276
## Rho_line[2,1] 242.76505 1.0039276
## Rho_line[2,2] NaN NaN
## a_exp[1,1] 1090.19284 1.0009439
## a_exp[1,2] 535.53811 1.0076138
## a_exp[2,1] 1101.24940 1.0001944
## a_exp[2,2] 549.64380 1.0077046
## a_plate[1,1] 538.88974 1.0070423
## a_plate[1,2] 233.39988 1.0253273
## a_plate[2,1] 59.36171 1.0721542
## a_plate[2,2] 1771.11059 0.9991384
## a_plate[3,1] 592.85498 0.9996208
## a_plate[3,2] 420.81436 1.0098111
## a_plate[4,1] 2111.23223 0.9992641
## a_plate[4,2] 1680.37975 0.9983478
## a_plate[5,1] 727.35275 1.0036322
## a_plate[5,2] 143.82316 1.0331196
## a_plate[6,1] 1098.28264 1.0079040
## a_plate[6,2] 1717.30251 0.9995480
## a_plate[7,1] 490.06206 0.9996682
## a_plate[7,2] 2718.88665 0.9995591
## a_plate[8,1] 2252.48669 1.0008058
## a_plate[8,2] 1649.00902 0.9996179
## a_plate[9,1] 931.54162 1.0021360
## a_plate[9,2] 244.71844 1.0165116
## a_plate[10,1] 1143.08835 1.0024445
## a_plate[10,2] 1957.36758 0.9988370
## a_plate[11,1] 741.21022 0.9987736
## a_plate[11,2] 1877.98213 1.0001449
## a_plate[12,1] 1239.14549 1.0025463
## a_plate[12,2] 1876.58325 0.9992296
## a_plate[13,1] 858.99499 1.0037673
## a_plate[13,2] 3742.38326 0.9991772
## a_plate[14,1] 77.50529 1.0550741
## a_plate[14,2] 1911.90106 0.9997502
## a_plate[15,1] 560.23879 1.0006568
## a_plate[15,2] 3600.29786 0.9998331
## a_plate[16,1] 903.50715 1.0082809
## a_plate[16,2] 2038.03251 0.9994830
## a_plate[17,1] 740.89675 1.0014927
## a_plate[17,2] 277.32028 1.0237169
## a_plate[18,1] 417.34691 1.0132302
## a_plate[18,2] 1810.22396 0.9992026
## a_plate[19,1] 630.75802 0.9991772
## a_plate[19,2] 1198.91200 1.0036574
## a_plate[20,1] 2966.01580 0.9989716
## a_plate[20,2] 1938.64063 0.9999407
## a_plate[21,1] 670.41923 1.0049993
## a_plate[21,2] 82.53009 1.0522742
## a_plate[22,1] 40.57561 1.1057894
## a_plate[22,2] 1572.53440 1.0020328
## a_plate[23,1] 574.42393 1.0013417
## a_plate[23,2] 174.98058 1.0217066
## a_plate[24,1] 2060.11073 1.0013403
## a_plate[24,2] 1895.08596 0.9987295
## a_plate[25,1] 803.19692 1.0041846
## a_plate[25,2] 3684.01256 1.0010904
## a_plate[26,1] 2782.16684 0.9998745
## a_plate[26,2] 1718.49741 0.9991742
## a_plate[27,1] 557.55811 1.0005154
## a_plate[27,2] 114.63222 1.0390242
## a_plate[28,1] 300.44136 1.0166211
## a_plate[28,2] 1576.21637 0.9989759
## a_plate[29,1] 820.58016 1.0064952
## a_plate[29,2] 2408.80084 1.0003529
## a_plate[30,1] 50.77105 1.0828249
## a_plate[30,2] 1801.57494 0.9993803
## a_plate[31,1] 578.06245 1.0019243
## a_plate[31,2] 439.47128 1.0144822
## a_plate[32,1] 1443.86034 1.0006287
## a_plate[32,2] 1740.88258 0.9994824
## a_plate[33,1] 763.45733 1.0039019
## a_plate[33,2] 532.54177 1.0093334
## a_plate[34,1] 958.15602 1.0079678
## a_plate[34,2] 1570.29139 0.9988471
## a_plate[35,1] 565.98456 0.9997901
## a_plate[35,2] 78.93701 1.0545616
## a_plate[36,1] 249.17754 1.0209101
## a_plate[36,2] 1952.65259 0.9984565
## a_plate[37,1] 706.48171 1.0028813
## a_plate[37,2] 3593.30752 0.9997440
## a_plate[38,1] 280.35910 1.0185862
## a_plate[38,2] 1577.83105 1.0016750
## a_plate[39,1] 581.42659 0.9990704
## a_plate[39,2] 718.93762 1.0082036
## a_plate[40,1] 96.82853 1.0451366
## a_plate[40,2] 1826.88670 0.9995529
## a_plate[41,1] 785.68005 1.0039419
## a_plate[41,2] 121.05028 1.0352455
## a_plate[42,1] 223.97517 1.0192291
## a_plate[42,2] 2468.48315 0.9994680
## a_plate[43,1] 707.25393 1.0002166
## a_plate[43,2] 218.91889 1.0231089
## a_plate[44,1] 1081.48549 1.0020654
## a_plate[44,2] 1854.67209 1.0001730
## a_plate[45,1] 810.52977 1.0022906
## a_plate[45,2] 1994.36155 1.0018512
## a_plate[46,1] 2297.48179 1.0000108
## a_plate[46,2] 1848.43534 1.0001359
## a_plate[47,1] 625.87023 1.0005288
## a_plate[47,2] 2989.64083 0.9995483
## a_plate[48,1] 2557.04638 0.9992184
## a_plate[48,2] 1779.00415 0.9999518
## a_plate[49,1] 785.02011 1.0013734
## a_plate[49,2] 242.64133 1.0230743
## a_plate[50,1] 1241.49197 1.0047833
## a_plate[50,2] 2037.73358 0.9986892
## a_plate[51,1] 585.55247 0.9992224
## a_plate[51,2] 1833.15295 1.0029286
## a_plate[52,1] 2585.17686 1.0007826
## a_plate[52,2] 2089.76948 0.9992752
## a_plate[53,1] 841.47887 1.0019283
## a_plate[53,2] 168.59132 1.0239566
## a_plate[54,1] 202.71065 1.0242586
## a_plate[54,2] 1988.99838 0.9989776
## a_plate[55,1] 636.75063 1.0006546
## a_plate[55,2] 844.89307 1.0064429
## a_plate[56,1] 2709.33588 1.0006266
## a_plate[56,2] 2044.73554 1.0020789
## a_plate[57,1] 701.77583 1.0086645
## a_plate[57,2] 452.21911 1.0102716
## a_plate[58,1] 2401.16565 1.0013096
## a_plate[58,2] 1740.74292 1.0002615
## a_plate[59,1] 592.40668 0.9992263
## a_plate[59,2] 3546.66796 0.9988838
## a_plate[60,1] 2050.43057 1.0047442
## a_plate[60,2] 2092.31470 0.9992883
## a_plate[61,1] 809.63023 1.0067488
## a_plate[61,2] 219.26181 1.0233294
## a_plate[62,1] 1998.94499 1.0000106
## a_plate[62,2] 2096.49555 0.9996985
## a_plate[63,1] 647.41389 0.9992879
## a_plate[63,2] 166.09903 1.0254425
## a_plate[64,1] 543.22843 1.0130256
## a_plate[64,2] 1746.84544 0.9993046
## a_plate[65,1] 756.71691 1.0035570
## a_plate[65,2] 3088.93299 0.9995741
## a_plate[66,1] 388.08199 1.0160304
## a_plate[66,2] 1860.44639 0.9988894
## a_plate[67,1] 756.13850 0.9993839
## a_plate[67,2] 192.06279 1.0241727
## a_plate[68,1] 336.96104 1.0164676
## a_plate[68,2] 2172.99137 1.0000801
## a_plate[69,1] 1024.45674 1.0042117
## a_plate[69,2] 186.72466 1.0236312
## a_plate[70,1] 2558.02606 0.9998737
## a_plate[70,2] 2447.25887 0.9987425
## a_plate[71,1] 662.32259 0.9999530
## a_plate[71,2] 3094.48898 0.9993845
## a_plate[72,1] 2000.84050 1.0000027
## a_plate[72,2] 1846.79963 0.9985939
## a_plate[73,1] 705.39423 1.0052360
## a_plate[73,2] 3114.34457 0.9999975
## a_plate[74,1] 60.25071 1.0629401
## a_plate[74,2] 1932.95436 0.9983529
## a_plate[75,1] 590.74896 0.9992990
## a_plate[75,2] 157.92520 1.0253466
## a_plate[76,1] 2049.36933 1.0002727
## a_plate[76,2] 2042.24061 0.9996625
## a_plate[77,1] 612.22712 1.0033937
## a_plate[77,2] 83.45842 1.0479100
## a_plate[78,1] 700.67227 1.0089782
## a_plate[78,2] 2047.16569 0.9987401
## a_plate[79,1] 804.62912 1.0005654
## a_plate[79,2] 97.05786 1.0424349
## a_plate[80,1] 303.54093 1.0189374
## a_plate[80,2] 2055.73899 1.0006101
## a_plate[81,1] 628.04108 1.0024733
## a_plate[81,2] 179.08234 1.0259527
## a_plate[82,1] 2118.58304 1.0021592
## a_plate[82,2] 2074.36077 0.9998754
## a_plate[83,1] 721.25689 1.0008545
## a_plate[83,2] 1119.30061 1.0027404
## a_plate[84,1] 2711.90329 1.0004349
## a_plate[84,2] 1631.17867 0.9988979
## a_plate[85,1] 748.60630 1.0013124
## a_plate[85,2] 45.15239 1.0937435
## a_plate[86,1] 2297.85197 1.0001101
## a_plate[86,2] 1874.28791 0.9989390
## a_plate[87,1] 607.04911 0.9983564
## a_plate[87,2] 781.91558 1.0067457
## a_plate[88,1] 1019.35256 1.0037280
## a_plate[88,2] 1815.09778 0.9989964
## a_plate[89,1] 1094.48934 1.0015394
## a_plate[89,2] 2044.12458 1.0003563
## a_plate[90,1] 326.89395 1.0210266
## a_plate[90,2] 1830.84781 0.9997718
## a_plate[91,1] 642.19687 0.9998113
## a_plate[91,2] 276.11449 1.0189943
## a_plate[92,1] 385.99514 1.0106124
## a_plate[92,2] 1884.06432 0.9984731
## a_plate[93,1] 603.22057 1.0040918
## a_plate[93,2] 2949.04900 0.9989939
## a_plate[94,1] 74.88575 1.0573622
## a_plate[94,2] 1882.57647 0.9993616
## a_plate[95,1] 589.89091 1.0003780
## a_plate[95,2] 2986.89367 0.9987788
## a_plate[96,1] 1210.30293 1.0071764
## a_plate[96,2] 1724.12630 0.9997183
## a_plate[97,1] 836.13516 1.0022368
## a_plate[97,2] 3096.32755 1.0017506
## a_plate[98,1] 576.04131 1.0134611
## a_plate[98,2] 1869.54819 0.9984991
## a_plate[99,1] 661.11003 1.0010374
## a_plate[99,2] 299.30696 1.0179038
## a_plate[100,1] 1935.31477 1.0013512
## a_plate[100,2] 2102.45290 0.9991429
## a_plate[101,1] 793.49755 1.0019508
## a_plate[101,2] 3397.49279 0.9986880
## a_plate[102,1] 73.90392 1.0564250
## a_plate[102,2] 1850.30152 0.9990330
## a_plate[103,1] 540.36879 0.9997910
## a_plate[103,2] 3545.44921 0.9990380
## a_plate[104,1] 814.89713 1.0104866
## a_plate[104,2] 1608.37869 0.9993919
## a_plate[105,1] 714.38079 1.0017288
## a_plate[105,2] 95.28486 1.0437124
## a_plate[106,1] 633.15544 1.0072847
## a_plate[106,2] 2179.88487 1.0011512
## a_plate[107,1] 581.61194 0.9994948
## a_plate[107,2] 286.18156 1.0185249
## a_plate[108,1] 2166.22646 1.0043996
## a_plate[108,2] 1724.75923 0.9993223
## a_plate[109,1] 624.52264 1.0063436
## a_plate[109,2] 2934.69001 0.9996719
## a_plate[110,1] 1473.76270 1.0008472
## a_plate[110,2] 2071.94108 0.9991073
## a_plate[111,1] 579.33881 1.0010383
## a_plate[111,2] 252.33860 1.0235978
## a_plate[112,1] 1818.21150 1.0014836
## a_plate[112,2] 1948.09711 0.9988584
## a_plate[113,1] 887.55015 1.0026130
## a_plate[113,2] 212.89066 1.0216481
## a_plate[114,1] 1369.42222 1.0050193
## a_plate[114,2] 2111.63467 0.9989132
## a_plate[115,1] 676.84947 1.0008372
## a_plate[115,2] 831.39021 1.0080625
## a_plate[116,1] 775.25932 1.0033412
## a_plate[116,2] 1830.88139 0.9994581
## a_plate[117,1] 1127.81955 0.9995217
## a_plate[117,2] 395.61296 1.0113065
## a_plate[118,1] 586.46310 1.0051540
## a_plate[118,2] 2163.79817 0.9986767
## a_plate[119,1] 640.30397 1.0021499
## a_plate[119,2] 84.58759 1.0494600
## a_plate[120,1] 1427.85669 1.0047823
## a_plate[120,2] 2011.08582 0.9993465
## a_plate[121,1] 838.25353 1.0038052
## a_plate[121,2] 1427.74503 1.0051431
## a_plate[122,1] 153.25057 1.0281957
## a_plate[122,2] 1841.07925 1.0001710
## a_plate[123,1] 509.50644 1.0011012
## a_plate[123,2] 164.70643 1.0216243
## a_plate[124,1] 465.83037 1.0126102
## a_plate[124,2] 1582.14137 0.9989295
## a_plate[125,1] 697.38921 1.0025950
## a_plate[125,2] 363.70563 1.0125641
## a_plate[126,1] 362.97100 1.0167695
## a_plate[126,2] 2025.53706 1.0002905
## a_plate[127,1] 674.92813 0.9995778
## a_plate[127,2] 1617.81846 1.0044272
## a_plate[128,1] 256.86086 1.0207950
## a_plate[128,2] 2025.39928 0.9990330
## a_plate[129,1] 603.31954 1.0047312
## a_plate[129,2] 128.37008 1.0341816
## a_plate[130,1] 92.16706 1.0445694
## a_plate[130,2] 1558.03066 1.0045591
## a_plate[131,1] 742.63045 0.9998662
## a_plate[131,2] 118.89594 1.0334071
## a_plate[132,1] 180.65572 1.0290216
## a_plate[132,2] 1818.02932 0.9999901
## a_plate[133,1] 721.72329 1.0065774
## a_plate[133,2] 2943.21213 0.9989256
## a_plate[134,1] 2004.59695 0.9992545
## a_plate[134,2] 2325.50053 0.9982271
## a_plate[135,1] 710.39430 0.9996968
## a_plate[135,2] 505.50818 1.0121167
## a_plate[136,1] 2608.61145 1.0007436
## a_plate[136,2] 2228.75397 0.9983747
## a_plate[137,1] 1141.13715 1.0024619
## a_plate[137,2] 265.05440 1.0218223
## a_plate[138,1] 193.94548 1.0254608
## a_plate[138,2] 1905.53578 0.9999921
## a_plate[139,1] 736.25507 0.9993632
## a_plate[139,2] 106.86338 1.0443138
## a_plate[140,1] 232.19101 1.0263717
## a_plate[140,2] 1858.95165 1.0001826
## a_plate[141,1] 705.95151 1.0013578
## a_plate[141,2] 54.60290 1.0763647
## a_plate[142,1] 1652.39053 1.0076364
## a_plate[142,2] 1593.66558 0.9991064
## a_plate[143,1] 683.80468 0.9988031
## a_plate[143,2] 89.39460 1.0463668
## a_plate[144,1] 189.48195 1.0210295
## a_plate[144,2] 1949.76399 0.9987544
## a_plate[145,1] 575.62949 1.0022558
## a_plate[145,2] 744.07919 1.0084874
## a_plate[146,1] 2208.25676 0.9993564
## a_plate[146,2] 1686.26739 1.0005728
## a_plate[147,1] 582.12132 1.0006296
## a_plate[147,2] 3424.57117 0.9994286
## a_plate[148,1] 104.47331 1.0373431
## a_plate[148,2] 1730.06531 1.0001144
## a_plate[149,1] 709.59847 1.0028147
## a_plate[149,2] 3004.46642 0.9996852
## a_plate[150,1] 146.87256 1.0292337
## a_plate[150,2] 1655.11381 1.0005052
## a_plate[151,1] 681.76423 0.9989194
## a_plate[151,2] 181.84059 1.0231660
## a_plate[152,1] 2408.01919 1.0001536
## a_plate[152,2] 1808.80995 0.9988541
## a_line[1,1] 329.89281 1.0068168
## a_line[1,2] 594.32681 1.0015308
## a_line[2,1] 284.75813 1.0081883
## a_line[2,2] 678.59210 1.0012844
## a_line[3,1] 693.44570 1.0008708
## a_line[3,2] 1116.46904 0.9996024
## a_line[4,1] 358.04211 1.0066444
## a_line[4,2] 613.00167 1.0040308
## a_line[5,1] 309.83398 1.0087506
## a_line[5,2] 570.20617 1.0022375
## a_line[6,1] 260.99672 1.0100770
## a_line[6,2] 556.97988 1.0032125
## a_line[7,1] 351.35853 1.0093263
## a_line[7,2] 783.01908 1.0029000
## a_line[8,1] 512.73953 1.0043076
## a_line[8,2] 1028.63438 1.0020921
## a_line[9,1] 1105.84069 0.9997891
## a_line[9,2] 2037.14904 1.0009590
## a_line[10,1] 1518.55840 1.0003953
## a_line[10,2] 2268.24638 0.9996351
## a_line[11,1] 281.61587 1.0084750
## a_line[11,2] 617.52448 1.0034800
## a_line[12,1] 338.72452 1.0053095
## a_line[12,2] 863.23799 1.0004537
## a_line[13,1] 283.29026 1.0060984
## a_line[13,2] 553.71743 1.0040091
## a_line[14,1] 354.00694 1.0130650
## a_line[14,2] 679.84439 1.0020576
## a_line[15,1] 347.12873 1.0072060
## a_line[15,2] 774.87776 1.0042979
## a_line[16,1] 308.23300 1.0098019
## a_line[16,2] 552.31861 1.0040078
## a_line[17,1] 315.40089 1.0033930
## a_line[17,2] 868.65682 1.0004358
## a_line[18,1] 468.49680 1.0064957
## a_line[18,2] 1526.69141 1.0007527
## a_line[19,1] 391.16965 1.0058833
## a_line[19,2] 797.68270 1.0014230
## a_line[20,1] 238.25329 1.0103841
## a_line[20,2] 574.65700 0.9995495
## a_line[21,1] 266.93408 1.0053958
## a_line[21,2] 540.64963 1.0009698
## a_line[22,1] 265.02875 1.0055432
## a_line[22,2] 527.05628 1.0019104
## a_line[23,1] 246.96498 1.0104580
## a_line[23,2] 447.39624 1.0037534
## a_line[24,1] 273.05607 1.0078542
## a_line[24,2] 597.40548 1.0036289
## a_line[25,1] 278.27941 1.0085799
## a_line[25,2] 497.20947 1.0001836
## a_line[26,1] 907.82403 1.0010038
## a_line[26,2] 1660.60745 0.9986889
## a_line[27,1] 278.86846 1.0054939
## a_line[27,2] 546.10049 1.0045395
## a_line[28,1] 249.77733 1.0123047
## a_line[28,2] 473.50480 1.0050404
## a_line[29,1] 373.02948 1.0045157
## a_line[29,2] 922.05133 0.9992346
## a_line[30,1] 238.80903 1.0075335
## a_line[30,2] 490.54837 1.0002016
## a_line[31,1] 338.07776 1.0048910
## a_line[31,2] 587.17329 1.0013550
## a_line[32,1] 1602.97853 1.0009019
## a_line[32,2] 1657.80095 0.9994805
## a_line[33,1] 274.27483 1.0064482
## a_line[33,2] 772.21830 1.0004564
## a_line[34,1] 234.96255 1.0105887
## a_line[34,2] 470.56480 1.0029825
## a_line[35,1] 288.02681 1.0045738
## a_line[35,2] 501.96951 1.0034822
## a_line[36,1] 279.72873 1.0089669
## a_line[36,2] 573.12199 1.0018063
## a_line[37,1] 259.80540 1.0119256
## a_line[37,2] 432.63000 1.0033303
## a_line[38,1] 260.94931 1.0075693
## a_line[38,2] 514.97797 1.0000095
## a_line[39,1] 274.72835 1.0098001
## a_line[39,2] 462.13692 1.0002992
## a_line[40,1] 2264.45566 0.9989730
## a_line[40,2] 3853.64776 0.9985290
## a_line[41,1] 352.35314 1.0048422
## a_line[41,2] 508.18275 1.0011025
## a_line[42,1] 302.95970 1.0059139
## a_line[42,2] 551.92250 1.0019492
## a_line[43,1] 342.58924 1.0026536
## a_line[43,2] 652.53103 1.0044796
## a_line[44,1] 515.87789 1.0054948
## a_line[44,2] 1150.77582 1.0006332
## a_line[45,1] 544.88697 1.0029514
## a_line[45,2] 1115.30577 0.9993526
## a_line[46,1] 449.49942 1.0027643
## a_line[46,2] 650.66304 1.0004075
## a_line[47,1] 340.55765 1.0057791
## a_line[47,2] 455.92081 1.0044742
## a_line[48,1] 250.70101 1.0121368
## a_line[48,2] 501.48523 1.0021230
## a_line[49,1] 285.67886 1.0083960
## a_line[49,2] 512.67262 1.0024086
## a_line[50,1] 252.45717 1.0064407
## a_line[50,2] 421.60105 1.0054470
## a_line[51,1] 317.57372 1.0058431
## a_line[51,2] 441.16422 1.0028767
## a_line[52,1] 318.51314 1.0081954
## a_line[52,2] 571.15849 1.0007181
## a_line[53,1] 334.29254 1.0098274
## a_line[53,2] 789.80916 1.0014439
## a_line[54,1] 303.06887 1.0059869
## a_line[54,2] 555.00139 1.0049981
## a_line[55,1] 467.90586 1.0021584
## a_line[55,2] 1371.61741 0.9995713
## a_line[56,1] 281.87499 1.0103817
## a_line[56,2] 556.62381 1.0016744
## a_line[57,1] 305.75759 1.0085087
## a_line[57,2] 788.49051 1.0032247
## a_line[58,1] 270.01552 1.0111417
## a_line[58,2] 540.28995 1.0009349
## a_line[59,1] 289.01129 1.0070928
## a_line[59,2] 469.77639 1.0063482
## a_line[60,1] 257.81604 1.0083553
## a_line[60,2] 445.67243 1.0063112
## a_line[61,1] 309.09618 1.0092588
## a_line[61,2] 607.52011 0.9991651
## a_line[62,1] 300.30771 1.0071841
## a_line[62,2] 475.58650 1.0046295
## a_line[63,1] 275.63886 1.0043954
## a_line[63,2] 546.49247 1.0028730
## a_line[64,1] 263.87611 1.0090549
## a_line[64,2] 508.98719 1.0028014
## a_line[65,1] 375.63803 1.0037552
## a_line[65,2] 589.74619 1.0014869
## a_line[66,1] 285.58397 1.0020220
## a_line[66,2] 671.48185 0.9993555
## a_line[67,1] 753.48612 1.0044320
## a_line[67,2] 1648.08984 1.0013473
## a_line[68,1] 282.58457 1.0086282
## a_line[68,2] 463.69057 1.0050530
## a_line[69,1] 372.76623 1.0068219
## a_line[69,2] 585.61834 1.0047517
## a_line[70,1] 384.20680 1.0012956
## a_line[70,2] 923.42391 0.9999113
## a_line[71,1] 423.25593 1.0058675
## a_line[71,2] 682.75340 1.0000200
## a_line[72,1] 273.01656 1.0099294
## a_line[72,2] 473.19694 1.0052864
## a_line[73,1] 3551.46427 0.9994261
## a_line[73,2] 3660.25773 0.9989864
## a_line[74,1] 317.46110 1.0056066
## a_line[74,2] 469.80212 1.0054119
## a_line[75,1] 267.86685 1.0074337
## a_line[75,2] 505.72379 1.0002099
## a_line[76,1] 333.47874 1.0071724
## a_line[76,2] 686.28075 0.9998832
## a_line[77,1] 326.43278 1.0080657
## a_line[77,2] 841.97510 1.0020833
## a_line[78,1] 281.34304 1.0072711
## a_line[78,2] 674.31574 1.0010384
## a_line[79,1] 282.99229 1.0089666
## a_line[79,2] 527.57236 1.0026154
## a_line[80,1] 400.72595 1.0070945
## a_line[80,2] 868.20879 1.0017840
## a_line[81,1] 2170.75224 0.9991868
## a_line[81,2] 3176.42665 1.0001125
## a_line[82,1] 283.54059 1.0076949
## a_line[82,2] 475.74158 1.0023467
## a_line[83,1] 277.58374 1.0115869
## a_line[83,2] 516.03926 1.0012791
## a_line[84,1] 1688.30802 1.0000793
## a_line[84,2] 2502.95096 0.9987363
## a_line[85,1] 369.38780 1.0059646
## a_line[85,2] 533.89993 1.0019736
## a_line[86,1] 577.92180 1.0037394
## a_line[86,2] 1215.95313 0.9995682
## a_line[87,1] 499.67436 1.0057392
## a_line[87,2] 713.88391 1.0003435
## a_line[88,1] 291.82682 1.0049432
## a_line[88,2] 472.89260 1.0040309
## a_line[89,1] 1108.99688 1.0004823
## a_line[89,2] 1540.74493 0.9998269
## a_line[90,1] 428.11398 1.0053616
## a_line[90,2] 584.04332 1.0044742
## a_line[91,1] 363.09056 1.0066076
## a_line[91,2] 924.63200 1.0022158
## a_line[92,1] 330.85924 1.0047516
## a_line[92,2] 756.33791 1.0007469
## a_line[93,1] 391.70927 1.0085007
## a_line[93,2] 1210.09841 1.0009580
## a_line[94,1] 395.17605 1.0063689
## a_line[94,2] 615.21039 1.0023041
## a_line[95,1] 455.08140 1.0047133
## a_line[95,2] 670.06646 1.0002467
## a_line[96,1] 1377.73992 1.0006758
## a_line[96,2] 3526.26204 0.9988244
## a_line[97,1] 525.08021 1.0042378
## a_line[97,2] 1354.43050 1.0005944
## a_line[98,1] 275.15692 1.0109031
## a_line[98,2] 612.29677 1.0018079
## a_line[99,1] 305.32935 1.0088457
## a_line[99,2] 592.24002 1.0014547
## a_line[100,1] 266.50915 1.0097931
## a_line[100,2] 577.99024 1.0035578
## a_line[101,1] 346.20625 1.0038063
## a_line[101,2] 627.83417 0.9992959
## a_line[102,1] 2723.61269 0.9991090
## a_line[102,2] 3283.70711 0.9984692
## a_line[103,1] 380.83812 1.0067218
## a_line[103,2] 827.19685 1.0019546
## a_line[104,1] 1708.00008 1.0002375
## a_line[104,2] 2770.25527 0.9991257
## a_line[105,1] 376.60968 1.0049938
## a_line[105,2] 731.53667 1.0008813
## a_line[106,1] 344.82564 1.0036064
## a_line[106,2] 594.17409 1.0037792
## a_line[107,1] 353.83086 1.0101151
## a_line[107,2] 514.93657 1.0008926
## a_line[108,1] 1168.27947 1.0002858
## a_line[108,2] 1942.05006 0.9999468
## a_line[109,1] 439.31417 1.0046268
## a_line[109,2] 1335.75185 0.9985800
## a_line[110,1] 599.70273 1.0004661
## a_line[110,2] 2383.28500 0.9985528
## a_line[111,1] 409.06750 1.0046299
## a_line[111,2] 606.34307 1.0009531
## a_line[112,1] 522.87794 1.0093088
## a_line[112,2] 1228.69131 1.0000021
## a_line[113,1] 339.13118 1.0014885
## a_line[113,2] 628.57131 1.0022940
## a_line[114,1] 252.20141 1.0111842
## a_line[114,2] 686.96264 0.9994412
## a_line[115,1] 322.25767 1.0065460
## a_line[115,2] 724.64371 1.0004935
## a_line[116,1] 286.26547 1.0108559
## a_line[116,2] 594.07096 1.0043914
## a_line[117,1] 538.20392 1.0040293
## a_line[117,2] 656.25875 1.0033136
## a_line[118,1] 239.00328 1.0095784
## a_line[118,2] 549.16738 1.0024695
## a_line[119,1] 227.71514 1.0127743
## a_line[119,2] 450.95803 1.0056980
## a_line[120,1] 1195.58564 0.9992270
## a_line[120,2] 2821.78862 0.9981475
## a_line[121,1] 2747.32555 0.9981362
## a_line[121,2] 3141.17621 0.9991842
## a_line[122,1] 274.29488 1.0089681
## a_line[122,2] 510.55429 1.0014811
## a_line[123,1] 264.75756 1.0088322
## a_line[123,2] 540.01070 1.0017756
## a_line[124,1] 234.93611 1.0127094
## a_line[124,2] 465.01205 1.0008063
## a_line[125,1] 319.40735 1.0063716
## a_line[125,2] 606.96626 1.0007765
## a_line[126,1] 961.09725 1.0017196
## a_line[126,2] 1054.70644 1.0001168
## a_line[127,1] 312.34599 1.0042250
## a_line[127,2] 637.11550 1.0000738
## a_line[128,1] 303.44192 1.0049797
## a_line[128,2] 781.34594 0.9996227
## a_line[129,1] 310.24578 1.0047470
## a_line[129,2] 551.15748 1.0027743
## a_line[130,1] 308.28422 1.0083909
## a_line[130,2] 861.42445 1.0020127
## a_line[131,1] 368.90906 1.0046409
## a_line[131,2] 695.40693 1.0010161
## a_line[132,1] 288.63071 1.0058676
## a_line[132,2] 464.81679 1.0073956
## a_line[133,1] 277.24764 1.0057196
## a_line[133,2] 623.06200 1.0005776
## a_line[134,1] 2624.71308 0.9985361
## a_line[134,2] 3361.90018 0.9985429
## a_line[135,1] 770.50911 1.0017129
## a_line[135,2] 1368.64581 1.0009136
## a_line[136,1] 1444.17951 0.9998930
## a_line[136,2] 2614.78050 0.9995783
## a_line[137,1] 254.32912 1.0107526
## a_line[137,2] 548.93858 1.0029946
## a_line[138,1] 287.52134 1.0034659
## a_line[138,2] 679.73427 1.0027737
## a_line[139,1] 317.26242 1.0090062
## a_line[139,2] 544.19706 1.0066500
## a_line[140,1] 250.23906 1.0114002
## a_line[140,2] 512.73491 1.0001476
## a_line[141,1] 532.99824 1.0056912
## a_line[141,2] 1378.23857 1.0010033
## a_line[142,1] 236.86230 1.0163290
## a_line[142,2] 526.21945 1.0021000
## a_line[143,1] 343.69958 1.0058945
## a_line[143,2] 570.90095 1.0018638
## a_line[144,1] 338.04665 1.0067212
## a_line[144,2] 612.34836 1.0014329
## a_line[145,1] 258.32199 1.0102986
## a_line[145,2] 686.94470 1.0044916
## a_line[146,1] 437.07918 1.0044637
## a_line[146,2] 710.57104 1.0008243
## a_line[147,1] 253.47336 1.0092306
## a_line[147,2] 453.11254 1.0011954
## a_line[148,1] 249.61372 1.0057060
## a_line[148,2] 606.98567 0.9990579
## a_line[149,1] 268.68939 1.0114291
## a_line[149,2] 647.15795 1.0020455
## a_line[150,1] 360.66949 1.0045417
## a_line[150,2] 626.33943 1.0022410
## a_line[151,1] 1889.80650 1.0009224
## a_line[151,2] 3362.35834 0.9995225
## a_line[152,1] 407.39306 1.0072092
## a_line[152,2] 742.69474 1.0039883
## a_line[153,1] 320.11286 1.0067276
## a_line[153,2] 597.65832 1.0004444
## a_line[154,1] 311.07461 1.0040643
## a_line[154,2] 673.67416 1.0029072
## a_line[155,1] 285.16532 1.0033165
## a_line[155,2] 552.39207 1.0001981
## a_line[156,1] 529.17458 1.0082770
## a_line[156,2] 1273.28938 0.9999964
## a_line[157,1] 356.03881 1.0056480
## a_line[157,2] 622.55983 1.0001264
## a_line[158,1] 2922.97442 1.0000889
## a_line[158,2] 3736.63012 0.9993822
## a_line[159,1] 381.14037 1.0049025
## a_line[159,2] 667.09535 1.0009181
## a_line[160,1] 331.41807 1.0049443
## a_line[160,2] 770.62149 0.9995025
## a_line[161,1] 287.00454 1.0134192
## a_line[161,2] 658.15056 0.9998267
## a_line[162,1] 261.71843 1.0075727
## a_line[162,2] 487.08019 1.0013317
## a_line[163,1] 288.72840 1.0070496
## a_line[163,2] 525.09858 1.0008400
## a_line[164,1] 321.17088 1.0075364
## a_line[164,2] 905.10326 1.0005870
## a_line[165,1] 357.76619 1.0070482
## a_line[165,2] 732.51962 1.0014288
## a_line[166,1] 260.28788 1.0124444
## a_line[166,2] 514.95441 1.0022630
## a_line[167,1] 415.07827 1.0052222
## a_line[167,2] 676.62410 1.0004257
## a_line[168,1] 369.09872 1.0054337
## a_line[168,2] 781.85444 1.0000428
## a_line[169,1] 284.30759 1.0068316
## a_line[169,2] 463.74225 1.0015853
## a_line[170,1] 285.23191 1.0130460
## a_line[170,2] 670.19317 1.0034187
## a_line[171,1] 309.56674 1.0089876
## a_line[171,2] 482.83830 1.0033659
## a_line[172,1] 275.09564 1.0108255
## a_line[172,2] 594.56799 1.0008247
## a_line[173,1] 254.73158 1.0076095
## a_line[173,2] 549.62453 1.0015142
## a_line[174,1] 288.19530 1.0054333
## a_line[174,2] 468.41930 1.0008857
## a_line[175,1] 2518.02272 0.9995338
## a_line[175,2] 3258.92968 0.9989089
## a_line[176,1] 299.89133 1.0083740
## a_line[176,2] 500.88750 1.0032710
## a_line[177,1] 273.88102 1.0064801
## a_line[177,2] 606.82514 1.0002606
## a_line[178,1] 273.85747 1.0064785
## a_line[178,2] 401.99282 1.0036600
## a_line[179,1] 293.42340 1.0086735
## a_line[179,2] 437.82994 1.0017452
## a_line[180,1] 317.27567 1.0050368
## a_line[180,2] 603.77179 1.0047453L_Rho_line[1,2], L_Rho_line[2,1] not the same? ?what is this metric L_Rho_plate[1,2], L_Rho_plate[2,1] not the same L_Rho_exp[1,2],L_Rho_exp[2,1] not the same
between the two treatments, Rho_exp across 0, so no correlation between experiments within two treatments same for between plates however, a positive effect between two treatments across lines is found, so the reaction of lines to treatments are highly correlated
Evaluate and compare the models. Is there evidence of line, treatment, and line X treatment effects? How does the magnitude of the experiment and plate effects compare to the line effects?
compare(m5,m5.1)## WAIC SE dWAIC dSE pWAIC weight
## m5 31971.29 235.4446 0.000000 NA 455.2252 0.6835819
## m5.1 31972.83 235.4136 1.540564 1.302544 455.4784 0.3164181non-centred model better than the previous one line effect: ther are differences in accessions of their hypocotyl length in High & Low red:far-red light ratios from m5.1, treatment effect:g[1]is negative, g[2] is positive, higher red:far-red light ratio has a negative effect while lower ratio has a positive effect on hypocoyl length among Arabidopsis accessions investigated in general magnitude of the experiment and plate effects compare to the line effects